Studies on a unified point of view on global theories of nonlinear elliptic equations

• Project/Area Number: 21244010
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Global analysis
• Research Institution: Waseda University
• Principal Investigator: OZAWA Tohru 早稲田大学, 理工学術院, 教授 (70204196)
• Co-Investigator(Kenkyū-buntansha): KOIKE Shigeaki 東北大学, 理学研究科, 教授 (90205295) ; TANAKA Kazunaga 早稲田大学, 理工学術院, 教授 (20188288)
• Project Period (FY): 2009-04-01 – 2014-03-31
• Project Status: Completed (Fiscal Year 2013)
• Budget Amount: ¥43,160,000 (Direct Cost: ¥33,200,000、Indirect Cost: ¥9,960,000); Fiscal Year 2013: ¥8,060,000 (Direct Cost: ¥6,200,000、Indirect Cost: ¥1,860,000); Fiscal Year 2012: ¥8,060,000 (Direct Cost: ¥6,200,000、Indirect Cost: ¥1,860,000); Fiscal Year 2011: ¥8,190,000 (Direct Cost: ¥6,300,000、Indirect Cost: ¥1,890,000); Fiscal Year 2010: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000); Fiscal Year 2009: ¥10,010,000 (Direct Cost: ¥7,700,000、Indirect Cost: ¥2,310,000)
• Keywords: 関数方程式の大域理論 / 非線型偏微分方程式 / 関数解析学 / 関数方程式論 / 実関数論 / 非線型楕円型方程式 / 楕円型評価 / ソボレフの不等式 / ポワンカレの不等式 / コンパクト埋蔵 / ボワンカレの不等式 / コンパタト埋蔵

Research Abstract

We studied nonlinear elliptic equations arising in various fields of mathematical physics by means of variational analysis, ordinary differential equations, and viscosity techniques. We studied orbital stability of standing waves, explicit blow-up solutions, and exponential decay of ground states for systems of nonlinear Schr\"odinger type equations.

Research Products

• [Journal Article] Small data blow-up for a system of nonlinear Schrodinger equations (2013)
  • Author(s): T. Ozawa, H. Sunagawa
  • Journal Title: J. Math. Anal. Appl Volume: 399 Pages: 147-155
  • Peer Reviewed
• [Journal Article] Finite charge solutions to cubic Schrodinger equations with a nonlocal nonlinearity in one space dimension (2013)
  • Author(s): K. Nakamura, T. Ozawa
  • Journal Title: Discrete and Continuous Dynamical Systems A Volume: 33 Pages: 789-801
  • Peer Reviewed
• [Journal Article] Global well-posedness of critical nonlinear Schrodinger equations below L^2 (2013)
  • Author(s): Y. Cho, G. Hwang, T. Ozawa
  • Journal Title: Discrete and Continuous Dynamical Systems A Volume: 33 Issue: 4 Pages: 1389-1405
  • DOI: 10.3934/dcds.2013.33.1389
  • Peer Reviewed
• [Journal Article] A note on the existence of nontrivial solutions to a semilinear elliptic problem (2013)
  • Author(s): Y. Cho, T. Ozawa
  • Journal Title: Kyushu J. Math Volume: 67 Pages: 227-236
  • Peer Reviewed
• [Journal Article] Regularity criteria for a coupled Navier-Stokes and Q-tensor system (2013)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: International Journal of Analysis Volume: 718173 Pages: 5-5
  • DOI: 10.1155/2013/718173
  • Peer Reviewed / Open Access
• [Journal Article] Analytic smoothing effect for a system of nonlinear Schrodinger equations (2013)
  • Author(s): G. Hoshino, T. Ozawa
  • Journal Title: Differential Equations and Applications - DEA Volume: 5 Pages: 395-408
  • Peer Reviewed
• [Journal Article] On a system of nonlinear Schrodinger equations with quadratic interaction (2013)
  • Author(s): N. Hayashi, K. Tanaka, T. Ozawa
  • Journal Title: Analyse non lineaire Volume: 30 Pages: 661-690
  • Peer Reviewed
• [Journal Article] Wadade Generalizations of the logarithmic Hardy inequality in critical Sobolov-Lorentz spaces (2013)
  • Author(s): S. Machihara, T. Ozawa, H
  • Journal Title: J. Ineq. Appl Volume: 2013:381 Issue: 1 Pages: 381-381
  • DOI: 10.1186/1029-242x-2013-381
  • Peer Reviewed / Open Access
• [Journal Article] Wadade Hardy inequalities on balls (2013)
  • Author(s): S. Machihara, T. Ozawa, H
  • Journal Title: Tohoku Math. J Volume: 65 Pages: 321-330
  • Peer Reviewed
• [Journal Article] On the Cauchy problem of fractional Schrodinger equation with Hartree type nonlinearity (2013)
  • Author(s): Y. Cho, H. Hajaiej, G. Hwang, T. Ozawa
  • Journal Title: Funkcialaj Ekvacioj Volume: 56 Pages: 193-224
  • Peer Reviewed
• [Journal Article] A regularity criterion for compressible nematic liquid crystal flows (2013)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: ISRN Mathematical Analysis Volume: 271324 Pages: 4-4
  • DOI: 10.1155/2013/271324
  • Peer Reviewed / Open Access
• [Journal Article] Global existence of strong solutions to a time-dependent 3D Ginzburg-Landau model for superconductivity with partial viscous terms (2013)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Math. Nachr Volume: 286 Issue: 17-18 Pages: 1792-1796
  • DOI: 10.1002/mana.201200050
  • Peer Reviewed
• [Journal Article] Sharp Morawetz estimates (2013)
  • Author(s): K. Rogers, T. Ozawa
  • Journal Title: J. d' Anal. Math Volume: 121 Issue: 1 Pages: 163-175
  • DOI: 10.1007/s11854-013-0031-0
  • Peer Reviewed
• [Journal Article] Exact remainder formula for the Young inequa lity and applications (2013)
  • Author(s): K. Fujiwara, T. Ozawa
  • Journal Title: International Journal of Mathematical Analysis Volume: 7 Pages: 2723-2735
  • DOI: 10.12988/ijma.2013.39230
  • Peer Reviewed / Open Access
• [Journal Article] High energy rotation type solutions of the forced pendulum equation (2013)
  • Author(s): P. Felmer, A. de Laire, S. Martinez, K. Tanaka
  • Journal Title: Nonlinearity Volume: 26 Issue: 5 Pages: 1473-1499
  • DOI: 10.1088/0951-7715/26/5/1473
  • Peer Reviewed
• [Journal Article] Representation formulas for solutions of Isaacs integro-PDE (2013)
  • Author(s): S. Koike, A. Swiech
  • Journal Title: Indiana University Mathematical Journal Volume: 62 Issue: 5 Pages: 1473-1502
  • DOI: 10.1512/iumj.2013.62.5109
  • Peer Reviewed
• [Journal Article] Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains (2013)
  • Author(s): J. Byeon, K. Tanaka
  • Journal Title: Calc. Var. PDE Volume: 50 Issue: 1-2 Pages: 1-1
  • DOI: 10.1007/s00526-013-0639-z
  • Peer Reviewed
• [Journal Article] Semi-classical standing waves for nonlinear Schrodinger equations at structurally stable critical points of the potential (2013)
  • Author(s): J. Byeon, K. Tanaka
  • Journal Title: J. Eur. Math. Soc Volume: 15 Issue: 5 Pages: 1859-1899
  • DOI: 10.4171/jems/407
  • Peer Reviewed
• [Journal Article] Semiclassical standing waves with clustering peaks for nonlinear Schrodinger equations (2013)
  • Author(s): J. Byeon, K. Tanaka
  • Journal Title: Memoirs of the American Mathematical Society Volume: 229
  • Peer Reviewed
• [Journal Article] Small data blow-up for a system of nonlinear Schrodinger equations (2013)
  • Author(s): T. Ozawa, H. Sunagawa
  • Journal Title: J. Math. Anal. Appl. Volume: 399 Pages: 147-155
  • Peer Reviewed
• [Journal Article] A note on the existence of nontrivial solutions to a semilinear elliptic problem (2013)
  • Author(s): Y. Cho, T. Ozawa
  • Journal Title: Kyushu J. Math. Volume: 67 Pages: 227-236
  • Peer Reviewed
• [Journal Article] Some inequalities related to the Lorentz spaces (2013)
  • Author(s): S. Machihara, T. Ozawa
  • Journal Title: Hokkaido Math. J. Volume: 42 Pages: 247-267
  • Peer Reviewed
• [Journal Article] Generalizations of the logarithmic Hardy inequality in critical Sobolov-Lorentz spaces (2013)
  • Author(s): S. Machihara, T. Ozawa, H. Wadade
  • Journal Title: J. Ineq. Appl. Volume: 2013
  • Peer Reviewed
• [Journal Article] Hardy inequalities on balls (2013)
  • Author(s): S. Machihara, T. Ozawa, H. Wadade
  • Journal Title: Tohoku Math. J. Volume: 65 Pages: 321-330
  • Peer Reviewed
• [Journal Article] On the Cauchy problem of fractional Schrodinger equation with Hartree type nonlinearity (2013)
  • Author(s): Y. Cho, H. Hajaiej, G. Hwang, T. Ozawa
  • Journal Title: Funkcialaj Ekvacioj Volume: 56 Pages: 193-224
  • Peer Reviewed
• [Journal Article] On a system of nonlinear Schrodinger equations with quadratic interaction (2013)
  • Author(s): N. Hayashi, T. Ozawa, K. Tanaka
  • Journal Title: Ann. Inst. H. Poincare Anal. Non Lineaire Volume: 30 Pages: 661-690
  • Peer Reviewed
• [Journal Article] Small data blow-up for a system of nonlinear Schr\"odinger equations (2013)
  • Author(s): T. Ozawa, H. Sunagawa
  • Journal Title: J. Math. Anal. Appl. Volume: 399 Pages: 147-155
  • Peer Reviewed
• [Journal Article] Finite charge solutions to cubic Schr\"odinger equations with a nonlocal nonlinearity in one space dimension (2013)
  • Author(s): K. Nakamura, T. Ozawa
  • Journal Title: Discrete and Continuous Dynamical Systems A Volume: 33 Pages: 789-801
  • Peer Reviewed
• [Journal Article] Global well-posedness of critical nonlinear Schr\"odinger equations below L^2 (2013)
  • Author(s): Y. Cho, G. Hwang, T. Ozawa
  • Journal Title: Discrete and Continuous Dynamical Systems A Volume: 33 Pages: 1389-1405
  • Peer Reviewed
• [Journal Article] Some inequalities related to the Lorentz spaces (2012)
  • Author(s): S. Machihara, T. Ozawa
  • Journal Title: Hokkaido Math. J Volume: 42 Pages: 247-267
  • Peer Reviewed
• [Journal Article] Uniqueness of weak solutions to the 3D Ginzburg-Landau model for superconductivity (2012)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: International Journal of Mathematical Analysis Volume: 6 Pages: 1095-1104
  • Peer Reviewed
• [Journal Article] Continuation criterion for the 2D liquid crystal flows (2012)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: ISRN Mathematical Analysis Volume: 248473 Pages: 7-7
  • DOI: 10.5402/2012/248473
  • Peer Reviewed
• [Journal Article] Regularity criterion for the 3D nematic crystal flows (2012)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: ISRN Mathematical Analysis Volume: 935045 Pages: 10-10
  • DOI: 10.5402/2012/935045
  • Peer Reviewed
• [Journal Article] Global strong solutions of the time-dependent Ginzburg-Landau model for superconductivity with a new gauge (2012)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: International Journal of Mathematical Analysis Volume: 6 Pages: 1679-1684
  • Peer Reviewed
• [Journal Article] Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity (2012)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Zeit. Angew. Math. Phys Volume: 63 Pages: 453-459
  • Peer Reviewed
• [Journal Article] A note on the null condition for quadratic nonli near Klein-Gordon systems in two space dime nsions (2012)
  • Author(s): S. Katayama, T. Ozawa, H. Sunagawa
  • Journal Title: Commun. Pure Appl. Math Volume: 65 Pages: 1285-1302
  • Peer Reviewed
• [Journal Article] Regularity criteria for hyperbolic Navier-Stokes and related system (2012)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: ISRN Mathematical Analysis Volume: 796368 Pages: 7-7
  • DOI: 10.5402/2012/796368
  • Peer Reviewed
• [Journal Article] Nonlinear elliptic equations in strip-like domains (2012)
  • Author(s): J. Byeon, K. Tanaka
  • Journal Title: Advanced Nonlinear Studies Volume: 12 Pages: 749-765
  • Peer Reviewed
• [Journal Article] Uniqueness of weak solutions to the Ginzburg-Landau model for super-conductivity (2012)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Zeit. Angew. Math. Phys. Volume: 63 Pages: 453-459
  • Peer Reviewed
• [Journal Article] A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions (2012)
  • Author(s): S. Katayama, T. Ozawa, H. Sunagawa
  • Journal Title: Commun. Pure Appl. Math. Volume: 65 Pages: 1285-1302
  • Peer Reviewed
• [Journal Article] Local maximum principle for L^p-viscosity solutions of fully nonlinear PDEs with unbounded ingredients (2012)
  • Author(s): S. Koike, A. Swiech
  • Journal Title: Communications in Pure and Applied Analysis Volume: 11 Pages: 1897-1910
  • Peer Reviewed
• [Journal Article] Uniqueness of weak solutions to the 3D Ginzburg-Landau modelfor superconductivity (2012)
  • Author(s): J.Fan, T.Ozawa
  • Journal Title: International Journal of Mathematical Analysis Volume: 6 Pages: 1095-1104
  • Peer Reviewed
• [Journal Article] Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications (2011)
  • Author(s): J. Kato, T. Ozawa
  • Journal Title: J. Math. Pures Appl Volume: 95 Pages: 48-71
  • Peer Reviewed
• [Journal Article] On Hartree equations with derivatives, Nonlinear Analysis Series A : Theory (2011)
  • Author(s): Y. Cho, S. Lee, T. Ozawa
  • Journal Title: Methods & Applications Volume: 74 Pages: 2094-2108
  • Peer Reviewed
• [Journal Article] Life span of positive solutions for a semilinear heat equation with general non-decaying initial data (2011)
  • Author(s): T. Ozawa, Y. Yamauchi
  • Journal Title: J. Math. Anal. Appl Volume: 379 Pages: 518-523
  • Peer Reviewed
• [Journal Article] Remarks on some dispersive estimates (2011)
  • Author(s): Y. Cho, T. Ozawa, S. Xia
  • Journal Title: Commun. Pure and Appl. Anal Volume: 10 Pages: 1121-1128
  • Peer Reviewed
• [Journal Article] Regularity criterion for the incompressible visco elastic fluid system (2011)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Houston J. Math Volume: 37 Pages: 627-636
  • Peer Reviewed
• [Journal Article] Invariant elliptic estimates (2011)
  • Author(s): Y. Cho, T. Ozawa, Y.-S. Shim
  • Journal Title: J. Math. Anal. Appl Volume: 382 Pages: 162-171
  • Peer Reviewed
• [Journal Article] Local Cauchy problem for the MHD equations with mass diffusion (2011)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Differential and Integral Equations Volume: 24 Pages: 1037-1046
  • Peer Reviewed
• [Journal Article] Small data scattering for a system of nonlinear Schrodinger equations (2011)
  • Author(s): N. Hayashi, C. Li, T. Ozawa
  • Journal Title: Differential Equations and Applications - DEA Volume: 3 Pages: 415-426
  • Peer Reviewed
• [Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms (2011)
  • Author(s): S.Koike, O. Ley
  • Journal Title: Journal of Mathema tical Analysis and Applications Volume: 381 Pages: 110-120
  • Peer Reviewed
• [Journal Article] A local mountain pass type result for a system of nonlinear Schrodinger equations (2011)
  • Author(s): N. Ikoma, K. Tanaka
  • Journal Title: Calc. Var. Partial Diff. Eq Volume: 40 Pages: 449-480
  • Peer Reviewed
• [Journal Article] Endpoint Strichartz estimates for the Klein-Gordon equationin two space dimensions and some applications (2011)
  • Author(s): J.Kato, T.Ozawa
  • Journal Title: J.Math.Pures Appl. Volume: 95 Pages: 48-71
  • Peer Reviewed
• [Journal Article] On Hartree equations with derivatives (2011)
  • Author(s): Y.Cho, S.Lee, T.Ozawa
  • Journal Title: Nonlinear Analysis Series A Volume: 74 Pages: 2094-2108
  • Peer Reviewed
• [Journal Article] Life span of positive solutions for a semilinear heatequation with general non-decaying initial data (2011)
  • Author(s): T.Ozawa, Y.Yamauchi
  • Journal Title: J.Math.Anal.Appl. Volume: 379 Pages: 518-523
  • Peer Reviewed
• [Journal Article] Remarks on some dispersive estimates (2011)
  • Author(s): Y.Cho, T.Ozawa, S.Xia
  • Journal Title: Commun.Pure and Appl.Anal. Volume: 10 Pages: 1121-1128
  • Peer Reviewed
• [Journal Article] Regularity criterion for the incompressible viscoelastic fluidsystem (2011)
  • Author(s): J.Fan, T.Ozawa
  • Journal Title: Houston J.Math. Volume: 37 Pages: 627-636
  • Peer Reviewed
• [Journal Article] Invariant elliptic estimates (2011)
  • Author(s): Y.Cho, T.Ozawa, Y.-S.Shim
  • Journal Title: J.Math.Anal.Appl. Volume: 382 Pages: 162-171
  • Peer Reviewed
• [Journal Article] Local Cauchy problem for the MHD equations with massdiffusion (2011)
  • Author(s): J.Fan, T.Ozawa
  • Journal Title: Differential and Integral Equations Volume: 24 Pages: 1037-1046
  • Peer Reviewed
• [Journal Article] Small data scattering for a system of nonlinear Schr￥" odinger equations (2011)
  • Author(s): N.Hayashi, C.Li, T.Ozawa
  • Journal Title: Differential Equations and Applications-DEA Volume: 3 Pages: 415-426
  • Peer Reviewed
• [Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms (2011)
  • Author(s): S.Koike, O.Ley
  • Journal Title: Journal of Mathematical Analysis and Applications Volume: 381 Pages: 110-120
  • Peer Reviewed
• [Journal Article] Analytic smoothing effect for global solutions to nonlinear Schrodinger equations (2010)
  • Author(s): T. Ozawa, K. Yamauchi
  • Journal Title: J. Math. Anal. Appl Volume: 364 Pages: 492-497
  • Peer Reviewed
• [Journal Article] On regularity criterion for the 2D wave maps and the 4D biharmonic wave maps, GAKUTO International Series (2010)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Math. Sci. Appl Volume: 32 Pages: 69-83
  • Peer Reviewed
• [Journal Article] Global Cauchy problem for the 2-D magnetohydrodynamic-models with partial viscous terms (2010)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: J. Math. Fluid Mech Volume: 12 Pages: 306-319
  • Peer Reviewed
• [Journal Article] Global Cauchy problems of certain magnetohydrodynamic-models (2010)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Advances Appl. Math. Sci Volume: 6 Pages: 169-190
  • Peer Reviewed
• [Journal Article] Nonlinear scalar field equations in R^N : mountain pass and symmetric mountain pass approaches (2010)
  • Author(s): J. Hirata, N. Ikoma, K. Tanaka
  • Journal Title: Topol. Methods Nonlinear Anal Volume: 35 Pages: 253-276
  • Peer Reviewed
• [Journal Article] Analytic smoothing effect for global solutions to nonlinear Schrodinger equations (2010)
  • Author(s): T.Ozawa, K.Yamauchi
  • Journal Title: J.Math.Anal.Appl. Volume: 364 Pages: 492-497
  • Peer Reviewed
• [Journal Article] On regularity criterion for the 2D wave maps and the 4D biharmonicwave maps (2010)
  • Author(s): J.Fan, T.Ozawa
  • Journal Title: GAKUTO International Series, Math.Sci.Appl. Volume: 32 Pages: 69-83
  • Peer Reviewed
• [Journal Article] Global Cauchy problem for the 2-D magnetohydrodynamic-models with partial viscous terms (2010)
  • Author(s): J.Fan, T.Ozawa
  • Journal Title: J.Math.Fluid Mech. Volume: 12 Pages: 306-319
  • Peer Reviewed
• [Journal Article] Global Cauchy problems of certain magnetohydrodynamic-models (2010)
  • Author(s): J.Fan, T.Ozawa
  • Journal Title: Advances Appl.Math.Sci. Volume: 6 Pages: 169-190
  • Peer Reviewed
• [Journal Article] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du (2010)
  • Author(s): S.Koike
  • Journal Title: Surikaisekikenkyusho Kokyuroku Volume: 1695 Pages: 139-147
  • Peer Reviewed
• [Journal Article] 粘性解が古典解になる時-Caffarelliの研究の紹介 (2010)
  • Author(s): S.Koike
  • Journal Title: 数学 Volume: 第62巻第9号 Pages: 315-328
  • NAID: 130004558916
• [Journal Article] Nonlinear scalar field equations in R^N : mountain pass and symmetric mountain pass approaches (2010)
  • Author(s): J.Hirata, N.Ikoma, K.Tanaka
  • Journal Title: Topol.Methods Nonlinear Anal Volume: 35 Pages: 253-276
  • Peer Reviewed
• [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients (2009)
  • Author(s): S.Koike, A. Swiech
  • Journal Title: Journal of Mathematical Society of Japan Volume: 61 Pages: 723-755
  • NAID: 10026998426
  • Peer Reviewed
• [Journal Article] Remarks on the Phragmen-Lindelof Theorem for L^p-viscosity solutions of fully nonlinear PDEs with unbounded ingredients (2009)
  • Author(s): S.Koike, K. Nakagawa
  • Journal Title: Electronic Journal of Differential Equations Volume: 146 Pages: 1-14
  • Peer Reviewed
• [Journal Article] Shim Remarks on the semirelativistic Hartree equations (2009)
  • Author(s): Y. Cho, H. Sasaki, T. Ozawa, Y.-S
  • Journal Title: Discrete and Continuous Dynamical Systems A Volume: 23 Pages: 1277-1294
  • Peer Reviewed
• [Journal Article] Uniqueness of weak solutions to the Cauchy problem for the 3-D timedependent GinzburgLandau model for superconductivity (2009)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Differential and Integral Equations Volume: 22 Pages: 27-34
  • Peer Reviewed
• [Journal Article] Shim Elliptic estimates independent of domain expansion (2009)
  • Author(s): Y. Cho, T. Ozawa, Y.-S
  • Journal Title: Calculus of Variations and PDE Volume: 34 Pages: 321-339
  • Peer Reviewed
• [Journal Article] Remarks on analytic smoothing effect for the Schrodinger equation (2009)
  • Author(s): T. Ozawa, K. Yamauchi
  • Journal Title: Math. Z Volume: 261 Pages: 511-524
  • Peer Reviewed
• [Journal Article] Regularity criteria for the 3D density-dependent Boussinesq equations (2009)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Nonlinearity Volume: 22 Pages: 553-568
  • Peer Reviewed
• [Journal Article] Inequalities associated with dilations (2009)
  • Author(s): T. Ozawa, H. Sasaki
  • Journal Title: Commun. Contemporary Math Volume: 11 Pages: 265-277
  • NAID: 120006459563
  • Peer Reviewed
• [Journal Article] Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-MHD model (2009)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Kinetic and Related Models Volume: 2 Pages: 293-305
  • Peer Reviewed
• [Journal Article] Regularity criterion for a Bona-Colin-Lannes system, Nonlinear Analysis Series A : Theory (2009)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Methods & Applications Volume: 71 Pages: 2634-2639
  • Peer Reviewed
• [Journal Article] Sobolev inequalities with symmetry (2009)
  • Author(s): Y. Cho, T. Ozawa
  • Journal Title: Commun. Contemporary Math Volume: 11 Pages: 355-365
  • NAID: 120006459561
  • Peer Reviewed
• [Journal Article] Regularity criteria for a simplified Ericksen - Leslie system modeling the flow of liquid crystals (2009)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Discrete and Continuous Dynamical Systems A Volume: 25 Pages: 859-867
  • Peer Reviewed
• [Journal Article] Logarithmically improved regularity criteria for Navier-Stokes and related equations (2009)
  • Author(s): J. Fan, T. Ozawa
  • Journal Title: Math. Meth. Appl. Sci Volume: 32 Pages: 2309-2318
  • Peer Reviewed
• [Journal Article] Sign-changing multi-bump solutions for nonlinear Schrodinger equations with steep potential wells (2009)
  • Author(s): K. Tanaka, Y. Sato
  • Journal Title: Trans. Amer. Math. Soc Volume: 361 Pages: 6205-6253
  • Peer Reviewed
• [Journal Article] Elliptic estimates independent of domain expansion (2009)
  • Author(s): Y.Cho
  • Journal Title: Calculus of Variations and PDE 34 Pages: 321-339
  • Peer Reviewed
• [Journal Article] Inequalities associated with dilations (2009)
  • Author(s): T.Ozawa
  • Journal Title: Commun.Contemporary Math. 11 Pages: 265-277
  • NAID: 120006459563
  • Peer Reviewed
• [Journal Article] Sobolev inequalities with symmetry (2009)
  • Author(s): Y.Cho
  • Journal Title: Commun.Contemporary Math. 11 Pages: 355-365
  • Peer Reviewed
• [Journal Article] Remarks on the semirelativistic Hartree equations (2009)
  • Author(s): Y.Cho
  • Journal Title: Discrete and Continuous Dynamical Systems A 23 Pages: 1277-1294
  • Peer Reviewed
• [Journal Article] Uniqueness of weak solutions to the Cauchy problem for the 3-Dtime-dependent Ginzburg-Landau model for superconductivity (2009)
  • Author(s): J.Fan
  • Journal Title: Differential and Integral Equations 22 Pages: 27-34
  • Peer Reviewed
• [Journal Article] Remarks on analytic smoothing effect for the Schr\"odinger equation (2009)
  • Author(s): T.Ozawa
  • Journal Title: Math.Z. 261 Pages: 511-524
  • Peer Reviewed
• [Journal Article] Regularity criteria for the 3D density-dependent Boussinesqequations (2009)
  • Author(s): J.Fan
  • Journal Title: Nonlinearity 22 Pages: 553-568
  • Peer Reviewed
• [Journal Article] Regularity criteria for the magnetohydrodynamic equations withpartial viscous terms and the Leray-$\alpha$-MHD model (2009)
  • Author(s): J.Fan
  • Journal Title: Kinetic and Related Models 2 Pages: 293-305
  • Peer Reviewed
• [Journal Article] Regularity criterion for a Bona-Colin-Lannes system (2009)
  • Author(s): J.Fan
  • Journal Title: Nonlinear Analysis Series A : Theory, Methods applications 71 Pages: 2634-2639
  • Peer Reviewed
• [Journal Article] Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals (2009)
  • Author(s): J.Fan
  • Journal Title: Discrete and Continuous Dynamical Systems A 25 Pages: 859-867
  • Peer Reviewed
• [Journal Article] Logarithmically improved regularity criteria for Navier-Stokes and related equations (2009)
  • Author(s): J.Fan
  • Journal Title: Math.Meth.Appl.Sci. 32 Pages: 2309-2318
  • Peer Reviewed
• [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients (2009)
  • Author(s): S.Koike
  • Journal Title: Journal of Mathematical Society of Japan 61(3) Pages: 723-755
  • NAID: 10026998426
  • Peer Reviewed
• [Journal Article] Sign-changing multi-bump solutions for nonlinear Schr\"odinger equations with steep potential wells (2009)
  • Author(s): K.Tanaka
  • Journal Title: Transactions of the American Mathematical Society 361 Pages: 6205-6253
  • Peer Reviewed
• [Presentation] Refinements of Holder's inequality (2014)
  • Author(s): T. Ozawa
  • Organizer: SEMINARIO DI EQUAZIONI ALLE DERIVATE PARZIALI
  • Place of Presentation: Universite de Pisa Dipartimento di Matematica
  • Year and Date: 2014-02-26
• [Presentation] Analyse Numerique et Equations aux Derivees Partielles (2014)
  • Author(s): T. Ozawa
  • Organizer: Bilinear estimates in the Sobolev spaces
  • Place of Presentation: Universite Paris-Sud Laboratoire de Mathemat iques
  • Year and Date: 2014-01-30
• [Presentation] チューブ状領域における非線形楕円型方程式の正値解の多重性 (2014)
  • Author(s): Kazunaga Tanaka
  • Organizer: 松山解析セミナー
  • Place of Presentation: 愛媛大学
  • Invited
• [Presentation] ヘルダーの不等式の精密化 (2013)
  • Author(s): T. Ozawa
  • Organizer: 九州関数方程式セミナー
  • Place of Presentation: 福岡大学セミナーハウス2階セミナー室
  • Year and Date: 2013-11-29
• [Presentation] 基礎的不等式再考 (Part I, II) (2013)
  • Author(s): T. Ozawa
  • Organizer: 第3回室蘭非線形解析研究会
  • Place of Presentation: 蘭工業大学教育・研究2号館(Q棟)4階
  • Year and Date: 2013-11-02
• [Presentation] Hardy type inequalities on balls (2013)
  • Author(s): T. Ozawa
  • Organizer: 第2回岐阜数理科学研究会
  • Place of Presentation: 飛騨高山まちの博物館研修室
  • Year and Date: 2013-09-16
• [Presentation] Hardy type inequalities on balls (2013)
  • Author(s): T. Ozawa
  • Organizer: Mexico-Japan Joint Meeting on PDE's at Morelia
  • Place of Presentation: Campus Morelia, UNAM
  • Year and Date: 2013-09-04
• [Presentation] Hardy type inequalities on balls (2013)
  • Author(s): T. Ozawa
  • Organizer: The 9th ISAAC Congress
  • Place of Presentation: Poland
  • Year and Date: 2013-08-08
• [Presentation] Mass resonance in a system of nonlinear Schrodinger equations (2013)
  • Author(s): T. Ozawa
  • Organizer: Linear and Nonlinear PDE
  • Place of Presentation: Univ. of Pisa
  • Year and Date: 2013-08-02
• [Presentation] On a system of Schrodinger equations (2013)
  • Author(s): T. Ozawa
  • Organizer: Harmonic Analysis and PDEs on Manifolds
  • Place of Presentation: 中央大学後楽園キャンパス6号館
  • Year and Date: 2013-04-19
• [Presentation] Bilinear estimates on the Klein-Gordon equation (2013)
  • Author(s): T. Ozawa
  • Organizer: 偏微分方程式待兼山セミナーNO. 19
  • Place of Presentation: 大阪大学理学部E棟301大セミナー室
  • Year and Date: 2013-03-15
• [Presentation] Sharp Morawetz Estimates (2013)
  • Author(s): T. Ozawa
  • Organizer: 北海道大学数学談話会
  • Place of Presentation: 北海道大学理学部4号館4-501 室
  • Year and Date: 2013-02-07
• [Presentation] Mass resonance in a system of nonlinear Schrodinger equations (2013)
  • Author(s): T. Ozawa
  • Organizer: The Asian Mathematical Conference 2013
  • Place of Presentation: BEXCO, Busan, Korea
• [Presentation] Hardy type inequalities on balls (2013)
  • Author(s): T. Ozawa
  • Organizer: The 8th Japanese-German International Workshop on Mathematical Fluid Dynamics Jun
  • Place of Presentation: Waseda University
• [Presentation] Weaving Science Web beyond Particle Matter Hierarchy. Sharp Morawetz estimates (2013)
  • Author(s): T. Ozawa
  • Organizer: Tohoku University Scienceweb GCOE The 5th GCOE International Symposium
  • Place of Presentation: Sendai, Japan
• [Presentation] Sharp Morawetz Estimates (2013)
  • Author(s): T. Ozawa
  • Organizer: UK-Japan Winter School, Nonlinear Analysis
  • Place of Presentation: ロンドン王立工学アカデミー
• [Presentation] 基礎的不等式再考 (Part I, II) (2013)
  • Author(s): Tohru Ozawa
  • Organizer: 第3回室蘭非線形解析研究会
  • Place of Presentation: 室蘭工業大学 教育・研究2号館
  • Invited
• [Presentation] Multi-peak solutions for singularly perturbed elliptic problems (2013)
  • Author(s): Kazunaga Tanaka
  • Organizer: the workshop on nonlinear PDE
  • Place of Presentation: Chern Inst. Math., Nankai University, Tianjin, China.
  • Invited
• [Presentation] Multiple positive solutions for nonlinear elliptic equations in expanding annular type domains (2013)
  • Author(s): Kazunaga Tanaka
  • Organizer: 広島微分方程式研究会
  • Place of Presentation: 広島大学理学部
  • Invited
• [Presentation] Sharp Morawetz Estimates (2013)
  • Author(s): Tohru Ozawa
  • Organizer: UK-Japan Winter School, Nonlinear Analysis (招待講演）
  • Place of Presentation: ロンドン王立工学アカデミー
• [Presentation] Sharp Morawetz estimates (招待講演） (2013)
  • Author(s): Tohru Ozawa
  • Organizer: Tohoku University Scienceweb GCOE The 5th GCOE International Symposium "Weaving Science Web beyond Particle Matter Hierarchy"
  • Place of Presentation: Tohoku University
• [Presentation] クライン・ゴルドン方程式に対する双線型評価とフーリエ制限問題 (2012)
  • Author(s): T. Ozawa
  • Organizer: 東北大学月曜解析セミナー
  • Place of Presentation: 東北大学合同棟203号室
  • Year and Date: 2012-11-19
• [Presentation] クライン・ゴルドン方程式の双線型評価 (2012)
  • Author(s): T. Ozawa
  • Organizer: 九州関数方程式セミナー
  • Place of Presentation: 福岡大学 セミナーハウス2階セミナー室D
  • Year and Date: 2012-11-02
• [Presentation] Sharp bilinear estimate on the Klein-Gordon equation (2012)
  • Author(s): T. Ozawa
  • Organizer: Seminar on Differential Equations in Osaka
  • Place of Presentation: Osaka University
  • Year and Date: 2012-08-21
  • Invited
• [Presentation] A sharp bilinear estimate for the Klein-Gordon equation (2012)
  • Author(s): Tohru Ozawa
  • Organizer: Evolution Equations, Related Topics and Application
  • Place of Presentation: 早稲田大学55号館S棟2F(東京都)(招待講演)
  • Year and Date: 2012-03-22
• [Presentation] Mass resonance in a system of nonlinear Schrodinger equations (2012)
  • Author(s): T. Ozawa
  • Organizer: PDE seminar
  • Place of Presentation: 南パリ大学数学教室
  • Year and Date: 2012-03-01
• [Presentation] Mass resonance in a system of nonlinear Schr￥" odinger equations (2012)
  • Author(s): Tohru Ozawa
  • Organizer: PDE seminar
  • Place of Presentation: パリ(フランス)(招待講演)
  • Year and Date: 2012-03-01
• [Presentation] 9th lnternational Conference on Harmonic Analysis and Partial Differential Equations (2012)
  • Author(s): T. Ozawa
  • Organizer: A sharp bilinear estimate for the Klein-Gordon equation in two space-time dimensions
  • Place of Presentation: El Escorial (Madrid)
• [Presentation] A sharp bilinear estimate for the Klein-Gordon equation (2012)
  • Author(s): T. Ozawa
  • Organizer: Evolution Equations, Related Topics and Application
  • Place of Presentation: Waseda University
• [Presentation] A sharp bilinear estimate for the Klein-Gordon equation (2012)
  • Author(s): Tohru Ozawa
  • Organizer: 9th lnternational Conference on Harmonic Analysis and Partial Differential Equations (招待講演）
  • Place of Presentation: El Escorial (Madrid)
• [Presentation] Finite charge solutions to cubic Schrodi nger equations with a nonlocal nonlinea rity in one space dimension (2011)
  • Author(s): T. Ozawa
  • Organizer: International Conference on Fluid and Gas Dynamics
  • Place of Presentation: 浙江師範大学
  • Year and Date: 2011-09-23
• [Presentation] Finite charge solutions to cubic Schr￥" odinger equations witha nonlocal nonlinearity in one space dimension (2011)
  • Author(s): Tohru Ozawa
  • Organizer: International Conference on Fluid and Gas Dynamics
  • Place of Presentation: 金華(中国)(招待講演)
  • Year and Date: 2011-09-23
• [Presentation] Small data scattering for a system of nonlinear Schr￥" odinger equations (2011)
  • Author(s): Tohru Ozawa
  • Organizer: One Forrum, Two Cities : Aspect of Nonlinear PDEs
  • Place of Presentation: 台北(台湾)(招待講演)
  • Year and Date: 2011-08-29
• [Presentation] Life span of positive solutions for a semilinear heat equation with general non-decaying initial data (2011)
  • Author(s): T. Ozawa
  • Organizer: International Workshop on Differential Equations and Applications
  • Place of Presentation: taiwan
  • Year and Date: 2011-01-16
• [Presentation] Life span of positive solutions for a semilinear heat equation withgeneral non-decaying initial data (2011)
  • Author(s): Tohru Ozawa
  • Organizer: International Workshop on Differential Equations and Applications
  • Place of Presentation: taiwan(招待講演)
  • Year and Date: 2011-01-16
• [Presentation] Small data scattering for a system of nonlinear Schrodinger equations (2011)
  • Author(s): T. Ozawa
  • Organizer: One Forum, Two Cities : Aspect of Nonlinear PDEs
  • Place of Presentation: National Taiwan University
• [Presentation] Smoothing estimates on a class of dispersive equations (2010)
  • Author(s): Tohru Ozawa
  • Organizer: International Workshop "Nonlinear PDE's @ IMPA"
  • Place of Presentation: IMPA, Rio de Janeiro, Brazil(招待講演)
  • Year and Date: 2010-08-02
• [Presentation] Remarks on some dispersive estimates (2010)
  • Author(s): T. Ozawa
  • Organizer: International Workshop "Fourier Analysis and Partial Differential Equations"
  • Place of Presentation: University of Gottingen
  • Year and Date: 2010-06-14
• [Presentation] Remarks on some dispersive estimates (2010)
  • Author(s): Tohru Ozawa
  • Organizer: International Workshop "Fourier Analysis and Partial Differential Equations"
  • Place of Presentation: University of Gottingen(招待講演)
  • Year and Date: 2010-06-14
• [Presentation] Analytic smoothing effect for nonlinear Schrodinger equations (2010)
  • Author(s): T. Ozawa
  • Organizer: 8th AIMS Conference
  • Place of Presentation: Dresden
  • Year and Date: 2010-05-28
• [Presentation] Analytic smoothing effect for nonlinear Schrodinger equations (2010)
  • Author(s): Tohru Ozawa
  • Organizer: 8th AIMS Conference
  • Place of Presentation: Dresden(招待講演)
  • Year and Date: 2010-05-28
• [Presentation] Analytic smoothing effect for nonlinear Schr\"odinger equations (2010)
  • Author(s): T.Ozawa
  • Organizer: Mini-Workshop on Analysis and Differential Equations Institute of Mathematics
  • Place of Presentation: Academia Sinica Taipei
  • Year and Date: 2010-03-20
• [Presentation] Global Cauchy problem for Klein-Gordon equations with quadratic nonlinearities (2010)
  • Author(s): T.Ozawa
  • Organizer: PDE seminar
  • Place of Presentation: Taida Inst.for Math.Sci.
  • Year and Date: 2010-03-18
• [Presentation] Smoothing estimates on a class of dispel rsive equations (2010)
  • Author(s): T. Ozawa
  • Organizer: International Workshop "Nonlinear PDE's @ IMPA" IMPA
  • Place of Presentation: Rio de Janeiro, Brazil
• [Presentation] Life span of solutions to nonlinear heat equation (2009)
  • Author(s): T. Ozawa
  • Organizer: 2009 国際ワークショップ「微分方程式とその応用」
  • Place of Presentation: 國立成功大学
  • Year and Date: 2009-12-20
• [Presentation] Analytic smoothing effect for the nonlinear Schr\"odinger equation (2009)
  • Author(s): T.Ozawa
  • Organizer: Evolution Equations, Related Topics and Applications
  • Place of Presentation: Helmholtz Zentrum Munchen
  • Year and Date: 2009-09-08
• [Presentation] Global Cauchy Problem for 2D Klein-Gordon equations (2009)
  • Author(s): T.Ozawa
  • Organizer: Nonlinear dispersive and geometric evolution problems : singularities and asymptotics
  • Place of Presentation: University of British Columbia
  • Year and Date: 2009-08-20
• [Presentation] Global Cauchy Problem for 2D Klein-Gordon equations (2009)
  • Author(s): T. Ozawa
  • Organizer: Work shop on Nonlinear dispersive and geometric evolution problems : singular ities and asymptotics
  • Place of Presentation: University of British Columbia
  • Year and Date: 2009-08-17
• [Presentation] Analyticity of solutions to nonlinear Schrodinger equations (2009)
  • Author(s): T. Ozawa
  • Organizer: Nonlinear PDE in Zhang Jia Jie
  • Place of Presentation: Zhang Jia Jie City, China
  • Year and Date: 2009-08-12
• [Presentation] Analyticity of solutions to nonlinear Schr\"odinger equations (2009)
  • Author(s): T.Ozawa
  • Organizer: Nonlinear PDE in Zhang Jia Jie
  • Place of Presentation: Zhang Jia Jie City
  • Year and Date: 2009-08-12
• [Presentation] Sobolev inequalities with symmetry (2009)
  • Author(s): T.Ozawa
  • Organizer: RIMS symposium "Geometric Aspect of Partial Differential Equations and Conservation Laws"
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2009-06-12
• [Presentation] Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions (2009)
  • Author(s): T.Ozawa
  • Organizer: Nonlinear waves and dispersion
  • Place of Presentation: Institut Henri poincare
  • Year and Date: 2009-04-29
• [Presentation] On a system of Schrodinger equations
  • Author(s): Tohru Ozawa
  • Organizer: Harmonic Analysis and PDEs on Manifolds
  • Place of Presentation: 中央大学後楽園キャンパス
  • Invited
• [Presentation] Hardy type inequalities on balls
  • Author(s): Tohru Ozawa
  • Organizer: The 8th Japanese-German International Workshop on Mathematical Fluid Dynamics
  • Place of Presentation: Waseda University
  • Invited
• [Presentation] Mass resonance in a system of nonlinear Schrodinger equations
  • Author(s): Tohru Ozawa
  • Organizer: The Asian Mathematical Conference 2013 (AMC 2013)
  • Place of Presentation: BEXCO, Busan, Korea
  • Invited
• [Presentation] Hardy type inequalities on balls
  • Author(s): Tohru Ozawa
  • Organizer: The 9th ISAAC Congress
  • Place of Presentation: Krakow, Poland
  • Invited
• [Presentation] Mass resonance in a system of nonlinear Schrodinger equations
  • Author(s): Tohru Ozawa
  • Organizer: Linear and Nonlinear PDE
  • Place of Presentation: Univ. of Pisa, Italy
  • Invited
• [Presentation] Hardy type inequalities on balls
  • Author(s): Tohru Ozawa
  • Organizer: Mexico-Japan Joint Meeting on PDE's at Morelia
  • Place of Presentation: Campus Morelia, UNAM
  • Invited
• [Presentation] Hardy type inequalities on balls
  • Author(s): Tohru Ozawa
  • Organizer: 第2回岐阜数理科学研究会
  • Place of Presentation: 飛騨高山まちの博物館研修室
  • Invited
• [Presentation] ヘルダーの不等式の精密化
  • Author(s): Tohru Ozawa
  • Organizer: 九州関数方程式セミナー
  • Place of Presentation: 福岡大学 セミナーハウス
  • Invited
• [Presentation] Bilinear estimates in the Sobolev spaces
  • Author(s): Tohru Ozawa
  • Organizer: Analyse Numerique et Equations aux Derivees Partielles
  • Place of Presentation: Universite Paris-Sud Laboratoire de Mathematiques
  • Invited
• [Presentation] Refinements of Holder' s inequality
  • Author(s): Tohru Ozawa
  • Organizer: SEMINARIO DI EQUAZIONI ALLE DERIVATE PARZIALI
  • Place of Presentation: Universite de Pisa Dipartimento di Matematica
  • Invited
• [Presentation] Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains
  • Author(s): Kazunaga Tanaka
  • Organizer: 応用解析研究会
  • Place of Presentation: 早稲田大学理工学部
  • Invited
• [Presentation] Multiple positive solutions for nonlinear elliptic equations in expanding annular type domains
  • Author(s): Kazunaga Tanaka
  • Organizer: 首都大学幾何セミナー
  • Place of Presentation: 首都大学東京
  • Invited
• [Presentation] Sharp bilinear estimate on the Klein-Gordon equation
  • Author(s): Tohru Ozawa
  • Organizer: Seminar on Differential Equations in Osaka, 2012 (招待講演）
  • Place of Presentation: Osaka University
• [Presentation] クライン・ゴルドン方程式の双線型評価
  • Author(s): Tohru Ozawa
  • Organizer: 九州関数方程式セミナー (招待講演）
  • Place of Presentation: 福岡大学 セミナーハウス セミナー室D
• [Presentation] クライン・ゴルドン方程式に対する双線型評価とフーリエ制限問題
  • Author(s): Tohru Ozawa
  • Organizer: 東北大学月曜解析セミナー (招待講演）
  • Place of Presentation: 東北大学合同棟203号室
• [Presentation] Sharp Morawetz Estimates
  • Author(s): Tohru Ozawa
  • Organizer: 北海道大学数学談話会 (招待講演）
  • Place of Presentation: 北海道大学理学部4号館4-501室
• [Presentation] Bilinear estimates on the Klein-Gordon equation
  • Author(s): Tohru Ozawa
  • Organizer: 偏微分方程式待兼山セミナーNO.19 (招待講演）
  • Place of Presentation: 大阪大学理学部E棟301 大セミナー室
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations, RIMS Kokyuroku Bessatsu B42 (2013)
  • Author(s): M. Sugimoto and T.Ozawa
  • Total Pages: 170
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations (2013)
  • Author(s): M. Sugimoto and T. Ozawa(Eds.),
  • Total Pages: 170
  • Publisher: RIMS Kokyuroku Bessatsu B42
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations, RIMS Kokyuroku Bessatsu B33 (2012)
  • Author(s): T. Ozawa and M. Sugimoto
  • Total Pages: 121
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations (2012)
  • Author(s): T. Ozawa and M. Sugimoto
  • Total Pages: 121
  • Publisher: RIMS Kokyuroku Bessatsu B33
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations, RIMS Kokyuroku Bessatsu B26 (2011)
  • Author(s): T. Ozawa and M. Sugimoto
  • Total Pages: 175
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations (2011)
  • Author(s): T.Ozawa, M.Sugimoto
  • Total Pages: 175
  • Publisher: RIMS Kokyuroku Bessatsu B26
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations, RIMS Kokyuroku Bessatsu B18 (2010)
  • Author(s): T. Ozawa and M. Sugimoto
  • Total Pages: 146
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations (2010)
  • Author(s): T.Ozawa, M.Sugimoto
  • Total Pages: 146
  • Publisher: RIMS Kokyuroku Bessatsu B18
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations, RIMS Kokyuroku Bessatsu B14 (2009)
  • Author(s): T. Ozawa and M. Sugimoto
  • Total Pages: 173
• [Book] Harmonic Analysis and Nonlinear Partial Differential Equations (2009)
  • Author(s): T.Ozawa
  • Total Pages: 173
  • Publisher: Research Institute for Mathematical Sciences Kyoto University
• [Remarks]
  • URL: http://www.ozawa.phys.waseda.ac.jp/index2.html