Structures created and preserved in nonlinear diffusion field

• Project/Area Number: 18204011
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Global analysis
• Research Institution: The University of Tokyo
• Principal Investigator: GIGA Yoshikazu The University of Tokyo, 大学院・数理科学研究科, 教授 (70144110)
• Co-Investigator(Kenkyū-buntansha): TONEGAWA Yoshihiro 北海道大学, 大学院・理学研究院・数学部門, 教授 (80296748) ; 石井 仁司 早稲田大学, 教育・総合科学学院, 教授 (70102887) ; 佐藤 元彦 室蘭工業大学, 共通講座・数学, 助教授 (30254139)
• Co-Investigator(Renkei-kenkyūsha): ISHII Hitoshi 早稲田大学, 教育・総合科学学術院, 教授 (70102887)
• Project Period (FY): 2006 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥46,930,000 (Direct Cost: ¥36,100,000、Indirect Cost: ¥10,830,000); Fiscal Year 2009: ¥12,740,000 (Direct Cost: ¥9,800,000、Indirect Cost: ¥2,940,000); Fiscal Year 2008: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000); Fiscal Year 2007: ¥10,920,000 (Direct Cost: ¥8,400,000、Indirect Cost: ¥2,520,000); Fiscal Year 2006: ¥11,570,000 (Direct Cost: ¥8,900,000、Indirect Cost: ¥2,670,000)
• Keywords: 非線形拡散 / ナヴィエ・ストークス / 平均曲率流 / 結晶成長 / ファセット / コリオリ力 / 概周期関数 / 特異拡散 / 自由境界問題 / 非一様な場 / 曲率流方程式 / 非平衡非線形現象 / 結晶成長の安定性 / ギブス・トムソン効果 / 特異表面エネルギー密度

Research Abstract

様々な形態がどの様にして生成され、保存されていくかを解明することは自然科学全般に渡って重要な問題である。その原理は多様ではあるが、本研究では拡散効果に異方性がある結晶成長現象を記述する微分方程式や、回転場内流体の運動方程式を中心に、解概念の構築をはじめ解の存在等の数学解析の理論を構築した。その応用として、成長する結晶の平らな面が崩れず、安定となる条件を導出し、結晶成長学の基礎理論の数学的裏付けを与えた。

Research Products

• [Journal Article] A billiard-based game interpretation of the Neumann problem for the curve shortening equation (2009)
  • Author(s): Y. Giga, Q. Liu
  • Journal Title: Adv.Diff.Eq. 14 Pages: 201-240
  • Peer Reviewed
• [Journal Article] Facet bending driven by the planar cystalline curvature with a general nonuniform forcing term (2009)
  • Author(s): Y. Giga, P., Rybka
  • Journal Title: J.Differential Equations 246 Pages: 2264-2303
  • Peer Reviewed
• [Journal Article] Uniqueness of constant weakly anisotropic mean curvature imersion of sphere S^2 in R^3 (2009)
  • Author(s): Y. Giga, J. Zhai
  • Journal Title: Advances in Differential Equations 14 Pages: 601-619
  • Peer Reviewed
• [Journal Article] A remark on the discrete deterministic game approach for curvature flow equations, Proc (2008)
  • Author(s): Y. Giga, Q. Liu
  • Journal Title: Interantional Conference on Nonlinear Phenomena with Energy Dissipation, (eds. A. Damlamian, N. Kenmochi, M. Mimura, J. Sprekels), Gakuto International Series, Mathematical Sciences and Applications, Gakkotosho, Tokyo 29 Pages: 103-115
  • Peer Reviewed
• [Journal Article] Evolution equations with almost periodic initial data, International Conference for the (2008)
  • Author(s): Y. Giga
  • Journal Title: 25th Anniversary of Viscosity Solutions, (eds. Y. Giga, S. Koike, T. Ozawa, N. Yamada) Gakuto International Series, Mathematical Scienes and Applications, Gakkotosho, Tokyo 30 Pages: 97-106
  • Peer Reviewed
• [Journal Article] On the Stokes resolvent equations in locally uniformly $L^{p}$ spaces in exterior domains (2008)
  • Author(s): M. Geissert, Y. Giga
  • Journal Title: Functional analysis and evolution equations, Birkhauser, Basel 307-314
  • Peer Reviewed
• [Journal Article] Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data (2008)
  • Author(s): Y. Giga, K. Inui, A. Mahalov, J. Saal
  • Journal Title: Indiana Univ. Math. J. 57 Pages: 2775-2792
  • Peer Reviewed
• [Journal Article] Faceted crystal grown from solution - a Stefan type problem with a singular interfacial energy (2008)
  • Author(s): Y. Giga, P. Rybka
  • Journal Title: Proceedings of the 4th JSAM-SIMAI Seminar on Industrial and Applied Mathematics, (eds. H. Fujita and M. Nakamura) Gakuto International Series, Mathematical Sciences and Applications, Gakkotosho, Tokyo 28 Pages: 31-41
  • Peer Reviewed
• [Journal Article] On instant blow-up for semilinear heat equations with growing initial data (2008)
  • Author(s): Y. Giga, N. Umeda
  • Journal Title: Methods and Applications of Analysis 15 Pages: 185-196
  • Peer Reviewed
• [Journal Article] A microscopic time scale approximation to the behavior of the local shape on the faceted surface under a nonuniformity in supersaturation (2008)
  • Author(s): E. Yokoyama, Y. Giga, P. Rybka
  • Journal Title: Physica D 237 Pages: 2845-2855
  • Peer Reviewed
• [Journal Article] On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data (2008)
  • Author(s): Y. Giga, H. Jo, A. Mahalov, T. Yoneda
  • Journal Title: Physica D 237 Pages: 1422-1428
  • Peer Reviewed
• [Journal Article] Facet bending in the driven curvature flow in the plane (2008)
  • Author(s): Y. Giga, P. Rybka
  • Journal Title: J.Geometric Analysis 18 Pages: 109-147
  • Peer Reviewed
• [Journal Article] The large-time behavior of solutions of Hamilton-Jacobi equations on the real line (2008)
  • Author(s): N. Ichihara, H. Ishii
  • Journal Title: Methods Appl.Anal. 15 Pages: 23-242
  • Peer Reviewed
• [Journal Article] Asymptotic solutions of Hamilton-Jacobi equations with semi-periodic Hamiltonians (2008)
  • Author(s): N. Ichihara, H. Ishii
  • Journal Title: Comm. Partial Differential Equations 33 Pages: 784-807
  • Peer Reviewed
• [Journal Article] Asymptotic solutions for large time of Hamilton-Jacobi equations in Euclidean n space, Ann (2008)
  • Author(s): H. Ishii
  • Journal Title: Inst.H.Poincare Anal., Non Lineaire 25 Pages: 231-266
  • Peer Reviewed
• [Journal Article] Applications of geometric measure theory to two-phase separation problems [translation of Sugaku 57 (2005), 178-196] (2008)
  • Author(s): Y. Tonegawa
  • Journal Title: Sugaku Expositions, Sugaku Expositions 21 Pages: 97-115
  • Peer Reviewed
• [Journal Article] Convergence of phase-field approximations to the Gibbs-Thomson law (2008)
  • Author(s): M. Roger, Y. Tonegawa
  • Journal Title: Calc. Var. Partial Differential Equations 32 Pages: 111-136
  • NAID: 120000952615
  • Peer Reviewed
• [Journal Article] Facet bending in the driven curvature flow in the plane (2008)
  • Author(s): Y. Giga and P. Rybka
  • Journal Title: J. Geometric Analysis 18 Pages: 109-147
• [Journal Article] Asymptotic solutions for large time of Hamilton-Jacobi equations inEuclidean n space, Ann (2008)
  • Author(s): H. Ishii
  • Journal Title: Inst. H. Poincare Anal. N on Lineaire 25 Pages: 231-266
• [Journal Article] Convergence of phase-field approximations to the Gibbs-Thomson law (2008)
  • Author(s): M. Roeger, Y. Tonegawa
  • Journal Title: Calc. Var. Partial Differential Equations 32 no.1 Pages: 111-136
  • NAID: 120000952615
• [Journal Article] On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data (2008)
  • Author(s): Y. Giga, H. Jo, A. Mahalov and T. Yoneda
  • Journal Title: Physica D 237 Pages: 1422-1428
  • Peer Reviewed
• [Journal Article] A microscopic time scale approximation to the behavior of the local shape on the faceted surface under a nonuniformity in supersaturation (2008)
  • Author(s): E. Yokoyama, Y. Giga and P. Rybka
  • Journal Title: Physica D 237 Pages: 2845-2855
  • Peer Reviewed
• [Journal Article] On instant blow-up for semilinear heat equations with growing initial data (2008)
  • Author(s): Y. Giga and N. Umeda
  • Journal Title: Methods and Applications of Analysis 15 Pages: 185-196
  • Peer Reviewed
• [Journal Article] Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial dat (2008)
  • Author(s): Y. Giga, K. Inui, A. Mahalov and J. Saal
  • Journal Title: Indiana Univ. Math. J. 57 Pages: 2775-2792
  • Peer Reviewed
• [Journal Article] On the Stokes resolvent equations in locally uniformly $L^{p}$ spaces in exterior domains (2008)
  • Author(s): M. Geissert and Y. Giga
  • Journal Title: Functional analysis and evolution equations Pages: 307-314
  • Peer Reviewed
• [Journal Article] Faceted crystal grown from solution-a Stefan type problem with a singular interfacial energy. (2008)
  • Author(s): Y. Giga and P. Rybka
  • Journal Title: Gakuto International Series, Mathematical Sciences and Applications, Gakkotosho, Tokyo 28 Pages: 31-41
  • Peer Reviewed
• [Journal Article] A remark on the discrete deterministic game approach for curvature flow equations (2008)
  • Author(s): Y. Giga and Q. Liu
  • Journal Title: Gakuto International Series, Mathematical Sciences and Applications, Gakkotosho, Tokyo 29 Pages: 103-115
  • Peer Reviewed
• [Journal Article] Evolution equations with almost periodic initial data (2008)
  • Author(s): Y. Giga
  • Journal Title: Gakuto International Series, Mathematical Sciences and Applications, Gakkotosho, Tokyo 30 Pages: 97-106
  • Peer Reviewed
• [Journal Article] PDE-Based Image Processing (3), (PDを利用した画像処理 (3)) (2007)
  • Author(s): Y. Giga
  • Journal Title: Medical Imaging Technology 25 Pages: 56-59
  • Peer Reviewed
• [Journal Article] Mahalov and S. Matsui, Uniform local solvability for the Navier-Stokes equations with the Coriolis force, Kyoto Conference on the Navier-Stokes equations and their applications (2007)
  • Author(s): Y. Giga, K. Inui, A.
  • Journal Title: RIMS Kokyuroku Bessatsu, B1, (eds. Y. Giga et al) Pages: 187-198
  • Peer Reviewed
• [Journal Article] Blow up at space infinity for nonlinear heat equations, Recent Advances in Nonlinear Analysis (eds.M.Chipot et al) (2007)
  • Author(s): Y. Giga, Y. Seki, N. Umeda
  • Journal Title: Proceedings of the International Conference on Nonlinear Analysis, Hsinchu, Taiwan (2006), World Scientific Pages: 77-94
  • Peer Reviewed
• [Journal Article] The Cauchy problem for the Navier-Stokes Equations with spatially almost periodic initial data (2007)
  • Author(s): Y. Giga, A. Mahalov, B. Nicolaenko
  • Journal Title: Mathematical Aspects of Nonlinear Dispersive Equations (eds.J.Bourgain et at), Annal of Math. Stud Princeton Press 163 Pages: 213-222
  • Peer Reviewed
• [Journal Article] Global solvability of the Navier-Stokes equations in space based on sum-closed frequency sets (2007)
  • Author(s): Y. Giga, K. Inui, A. Mahalov, J. Saal
  • Journal Title: Adv.Differential Equations 12 Pages: 721-736
  • Peer Reviewed
• [Journal Article] Rotating Navier-Stokes equations in nondecreasing at infinity : The Ekman boundary layer problem (2007)
  • Author(s): Y. Giga, K. Inui, A. Mahalov, S. Matsui, J. Saal
  • Journal Title: Arch.Rational Mech.Anal. 186 Pages: 177-224
  • Peer Reviewed
• [Journal Article] Magnetic clusters and fold energies, Proc. Royal Soc (2007)
  • Author(s): Y. Giga, M. Kubo, Y. Tonegawa
  • Journal Title: Edinburgh Sect. A 137 Pages: 23-40
  • Peer Reviewed
• [Journal Article] Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians (2007)
  • Author(s): H. Ishii, H. Mitake
  • Journal Title: Indiana Univ.Math.J. 56 Pages: 2159-2183
  • Peer Reviewed
• [Journal Article] A singular perturbation problem with integral curvature bound (2007)
  • Author(s): Y. Nagase, Y. Tonegawa
  • Journal Title: Hiroshima Math.J. 37 Pages: 455-489
  • NAID: 110006455963
  • Peer Reviewed
• [Journal Article] Rotating Navier-Stokes equations in ${\mathbb R}^{3}_{+}$ with initial data nondecreasing at infinity : The Ekman boundary layer problem, (2007)
  • Author(s): Y. Giga, K. Inui, A. Mahalov, S. Matsui and J. Saal
  • Journal Title: Arch. Rational Mech. Anal 186 Pages: 177-224
• [Journal Article] Magnetic clusters and fold energies (2007)
  • Author(s): Y. Giga, M. Kubo and Y. Tonegawa
  • Journal Title: Proc. Royal Soc. Edinburgh Sect. A 137 Pages: 23-40
  • NAID: 120006459377
• [Journal Article] Rotating Navier-Stokes equations in nondecreasing at infinity:The Ekman boundary layer problem (2007)
  • Author(s): Y.Giga, K.Inui, A.Mahalov, S.Matsui and J.Saal
  • Journal Title: Arch.Rational Mech, AnaI 186 Pages: 177-224
  • Peer Reviewed
• [Journal Article] Global solvability of the Navier-Stokes equations in space based on sum-closed frequency sets (2007)
  • Author(s): Y.Giga, K.Inui, A.Mahalov and J.Saal
  • Journal Title: Adv.Differential Equations 12 Pages: 721-736
  • Peer Reviewed
• [Journal Article] The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data (2007)
  • Author(s): Y.Giga, A.Mahalov, and B.licolaenko
  • Journal Title: Mathematical Aspects of Nonlinear Dispersive Equations 163 Pages: 213-222
  • Peer Reviewed
• [Journal Article] Uniform local solvability for the Navier-Stokes with the Coriolis force,Kyoto Conference on the Navier-Stokes equations and their applications,2007,March (2007)
  • Author(s): Y.Giga, K.Inui, A.Mahalov and S.Matsui
  • Journal Title: RIMS Kokyuroku, Bessatsu B1 Pages: 187-198
  • Peer Reviewed
• [Journal Article] On blow up at space infinity for semilinear heat equations (2006)
  • Author(s): Y. Giga, N. Umeda
  • Journal Title: J.Math.Anal.Appl. 316 Pages: 538-555
  • Peer Reviewed
• [Journal Article] Stability of facets of crystals from vapor (2006)
  • Author(s): Y. Giga, P. Rybka
  • Journal Title: Discrete Contin. Dyn.Syst. 14 Pages: 689-706
  • Peer Reviewed
• [Journal Article] On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations (2006)
  • Author(s): Y. Giga, T. Ohtsuka, R. Sch\"atzle
  • Journal Title: Interfaces and Free Boundaries 8 Pages: 317-348
  • Peer Reviewed
• [Journal Article] Global solvability of constrained singular diffusion equation associated with essential variation (2006)
  • Author(s): Y. Giga, H. Kuroda, N. Yamazaki
  • Journal Title: Proc. Free boundary problem 2005, International series of Numerical Math 54 Pages: 209-218
  • Peer Reviewed
• [Journal Article] Navier-Stokes equations in a rotating frame in R^3 with initial data nondecreasing at infinity (2006)
  • Author(s): Y. Giga, K. Inui, A. Mahalov, S. Matsui
  • Journal Title: Hokkaido Math.J. 35 Pages: 321-364
  • Peer Reviewed
• [Journal Article] Selfsimilar expanding solutions in a sector for a crystalline flow (2006)
  • Author(s): M. -H. Giga, Y. Giga, H. Hontani
  • Journal Title: SIAM J.Math.Anal. 37 Pages: 1207-1226
  • Peer Reviewed
• [Journal Article] Asymptotic solutions for large time of Hamilton-Jacobi equations, International Congress of Mathematicians (2006)
  • Author(s): H. Ishii
  • Journal Title: Eur.Math.Soc., Zurich Vol. III Pages: 213-227
  • Peer Reviewed
• [Journal Article] Asymptotic solutions of Hamilton-Jacobi equations in Euclidean $n$ space (2006)
  • Author(s): Y. Fujita, H. Ishii, P. Loreti
  • Journal Title: Indiana Univ.Math.J. 55 Pages: 1671-1700
  • Peer Reviewed
• [Journal Article] Asymptotic solutions of viscous Hamilton-Jacobi equations with Ornstein-Uhlenbeck operator Comm (2006)
  • Author(s): Y. Fujita, H. Ishii, P. Loreti
  • Journal Title: Partial Differential Equations 31 Pages: 827-848
  • Peer Reviewed
• [Journal Article] Selfsimilar expanding solutions in a sector for a crystalline flow (2006)
  • Author(s): M.-H.Giga, Y.Giga, H.Hontani
  • Journal Title: SIAM J. Math. Anal 37 Pages: 1207-1226
• [Journal Article] Navier-Stokes equations in a rotating frame in $(bfR)^3$ with initial data nondecreasing at infinity (2006)
  • Author(s): Y.Giga, K.Inui, A.Mahalov, S.Matsui
  • Journal Title: Hokkaido Math. J. 35 Pages: 321-364
• [Journal Article] Stability of facets of crystals from vapor (2006)
  • Author(s): Y.Giga, P.Pybka
  • Journal Title: Discrete ]Contin. Dyn. Syst 14 Pages: 689-706
• [Journal Article] On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equatuons (2006)
  • Author(s): Y.Giga, T.Ohtsuka, R.Sch' atzle
  • Journal Title: Interfaces and Free Boundaries 8 Pages: 317-348
• [Journal Article] Global solvability of constrained singular diffusion equation associated with essential variation (2006)
  • Author(s): Y.Giga, H.Kuroda, N.Yamazaki
  • Journal Title: Proc. Free boundary problem 2005. Internationalseries of Namerical Math 154 Pages: 209-218
• [Journal Article] On blow up at space infinity for semilinear heat equations (2006)
  • Author(s): Y.Giga, N.Umeda
  • Journal Title: J. Math. Anal. Appl 316 Pages: 538-555
• [Journal Article] Mean curvature flow closes open ends of noncompact surface of rotation
  • Author(s): Y. Giga, Y. Seki, N. Umeda
  • Journal Title: Commun.PDE., to appear
  • Peer Reviewed
• [Presentation] Singular diffusion equations with nonuniform driving force (2009)
  • Author(s): Y. Giga
  • Organizer: Workshop on Viscosity Solutions and Related Problems
  • Place of Presentation: 埼玉大学 東京サテライト
  • Year and Date: 2009-01-29
• [Presentation] Singular diffusion equations with nonuniform driving force (2009)
  • Author(s): Y. Giga
  • Organizer: Workshop on Viscosity Solutions and Related Problems, Satellite Campus of Saitama Univ
  • Place of Presentation: Tokyo
• [Presentation] ファセット安定性問題の数学解析 (2008)
  • Author(s): 儀我美一
  • Organizer: 第10向界面ダイナミクスと数値シミュレーション
  • Place of Presentation: 神戸インスティチュート
  • Year and Date: 2008-11-28
• [Presentation] On blow up at space infinity (2008)
  • Author(s): Y. Giga
  • Organizer: The third Euro-Japan Seminar on Blow up
  • Place of Presentation: 東北大学
  • Year and Date: 2008-09-08
• [Presentation] The Cauchy problem for the Navier-Stokes-Coriolis equations with spatially almost periodic initial data (2008)
  • Author(s): Y. Giga
  • Organizer: Seminars on Equations on Mathematical Physics
  • Place of Presentation: Warsaw University
  • Year and Date: 2008-07-30
• [Presentation] On billiards for game interpretation of the Neumann problem for curvature flows (2008)
  • Author(s): Y. Giga
  • Organizer: Special Analysis Seminar, Courant Institute
  • Place of Presentation: New York University
  • Year and Date: 2008-05-16
• [Presentation] On billiards for game interpretation of the Neumann problem for curvature flows (2008)
  • Author(s): Y. Giga
  • Organizer: Special Analysis Seminar
  • Place of Presentation: Courant Institute New York University
  • Year and Date: 2008-05-16
• [Presentation] The Cauchy problems for the Navier-Stokes equations with spatially al most periodic initial data (2008)
  • Author(s): Y. Giga
  • Organizer: New Aspects and Development of Mathematical Analysis in Nonlinear Phenomena
  • Place of Presentation: 九州大学
  • Year and Date: 2008-05-16
• [Presentation] ファセット安定性問題の数学解析 (2008)
  • Author(s): 儀我美一
  • Organizer: 第10回界面ダイナミクスと数値シミュレーション
  • Place of Presentation: 神戸インスティチュート
• [Presentation] ファセット安定性問題の数学解析 (2008)
  • Author(s): 儀我美一
  • Organizer: 結晶成長学会国内会議
  • Place of Presentation: 仙台
• [Presentation] On blow up at space infinity (2008)
  • Author(s): Y. Giga
  • Organizer: The third Euro-Japan Seminar on Blow up
  • Place of Presentation: Tohoku University
• [Presentation] Surface Evolution Equations-A level set approach (2008)
  • Author(s): Y. Giga
  • Organizer: PDE in Geometry University of Cologne
  • Place of Presentation: Series of Lectures : three times and Exercises
• [Presentation] The Cauchy problems for the Navier-Stokes equations with spatially almost periodic initial data (2008)
  • Author(s): Y. Giga
  • Organizer: New Aspects and Development of Mathematical Analysis in Nonlinear Phenomena
  • Place of Presentation: Kyushu University
• [Presentation] Surface evolution equationsa level set approach, Summer School (2008)
  • Author(s): Y. Giga
  • Organizer: PDE from Geometry, Cologne
  • Place of Presentation: ドイツ
• [Presentation] Surface Evolution Equations- A level set approach (2008)
  • Author(s): Y. Giga
  • Organizer: PDE in Geometry University of Cologne
  • Place of Presentation: University of Cologne
• [Presentation] On facet bending solutions for planar crystalline curvature flow equations with nonuniform driving force (2007)
  • Author(s): Y. Giga
  • Organizer: International Conference on Free Boundary Problems in Chiba 2007
  • Place of Presentation: Chiba
  • Year and Date: 2007-11-30
• [Presentation] On facet bending solutions for planar crystalline curvature fiow equations with nonuniform driving force (2007)
  • Author(s): Y.Giga
  • Organizer: International Conference on Free Boundary Problems in Chiba 2007
  • Place of Presentation: Chiba
  • Year and Date: 2007-11-30
• [Presentation] 大規模相互作用系の確率解析とその展開 (2007)
  • Author(s): 舟木直久
  • Organizer: 日本数学会秋季総合分科会総合講演
  • Place of Presentation: 東北大学
  • Year and Date: 2007-09-22
• [Presentation] Various mathematical questions arising in phase separation problem (2007)
  • Author(s): Y. Tonegawa
  • Organizer: Oberseminar, Max Planck Institute
  • Place of Presentation: ドイツ
  • Year and Date: 2007-08-26
• [Presentation] Evolution equations with almost periodic initial data (2007)
  • Author(s): Y. Giga
  • Organizer: Nonlocal and abstract Parabolic Equations and their Applications, Bedlewo
  • Place of Presentation: ポーランド
  • Year and Date: 2007-07-25
• [Presentation] Surface Evolution Equations -A level set approach, Aspects of Membrane Dynamics (2007)
  • Author(s): Y. Giga
  • Organizer: Royal Institute of Technology
  • Place of Presentation: Stockholm
  • Year and Date: 2007-07-21
• [Presentation] Asymptotic solutions of Hamilton-Jacobi equations for large time and related topics, H. Ishii (2007)
  • Author(s): H. Ishii
  • Organizer: 6th International Congress on Industrial and Applied Mathematics (ICIAM 2007)
  • Place of Presentation: Zurich
  • Year and Date: 2007-07-19
• [Presentation] Asymptotic solutions of Hamilton-Jacobi equations for large time and related topics (2007)
  • Author(s): H. Ishii
  • Organizer: 6th International Congress on Industrial and Applied Mathematics (ICIAM2007)
  • Place of Presentation: Zurich, スイス
  • Year and Date: 2007-07-19
• [Presentation] A level-set method for viscosity solutions with shocks (2007)
  • Author(s): M. -H. Giga, Y. Giga
  • Organizer: Viscosity solutions of paritial differential equations : recent advances and applications, ICIAM 2007
  • Place of Presentation: Zurich
  • Year and Date: 2007-07-18
• [Presentation] A level-set method for viscosity solutions with shocks (2007)
  • Author(s): Mi.-Ho. Giga and Y. Giga
  • Organizer: Viscosity solutions of paritial differential equations; recent advances and apPlications, ICIAM 2007
  • Place of Presentation: Universitat Zurich Switzerland
  • Year and Date: 2007-07-18
• [Presentation] Evolution equations with almost periodic initial data, Analysis Seminar (2007)
  • Author(s): Y. Giga
  • Organizer: University of Constance
  • Place of Presentation: Germany
  • Year and Date: 2007-07-05
• [Presentation] Evolution equations with almost periodic initial data (2007)
  • Author(s): Y. Giga
  • Organizer: International Conference for the 25th Anniversary of Viscosity Solution
  • Place of Presentation: University of Tokyo, Japan
  • Year and Date: 2007-07-05
• [Presentation] Evolution equations with almost periodic initial data (2007)
  • Author(s): Y. Giga
  • Organizer: Nonlocal and abstract Parabolic Equations and their Applications
  • Place of Presentation: Bedlewo, Poland
  • Year and Date: 2007-06-25
• [Presentation] Evolution equations with almost periodic initial data (2007)
  • Author(s): Y.Giga
  • Organizer: Nonlocal and abstract Parabolic Equations and their Applications
  • Place of Presentation: Bedlewo Poland
  • Year and Date: 2007-06-25
• [Presentation] Surface EvolutiQn Equations-A level set approach,Aspects of Membrane Dynamics (2007)
  • Author(s): Y.Giga
  • Organizer: Aspects of Membrane Dynamics
  • Place of Presentation: Royal Institute of Technology Stockholm
  • Year and Date: 2007-06-21
• [Presentation] Evolution equations with almost periodic initial data (2007)
  • Author(s): Y.Giga
  • Organizer: International Conference for the 25th Anniversary of Viscosity Solution
  • Place of Presentation: International Conference for the 25th Anniversary of Viscosity Solution
  • Year and Date: 2007-06-05
• [Presentation] Evolution equations with almost periodic initial data (2007)
  • Author(s): Y.Giga
  • Organizer: Arlalysis Seminar
  • Place of Presentation: University of Constance Germany
  • Year and Date: 2007-06-05
• [Presentation] Global solvability of the Navier-Stokes equations in spaces based sum-closed frequency sets (2006)
  • Author(s): Y. Giga
  • Organizer: Rotating Fluids in Geophysics, Bernoulli Center, Ecole Polytechnique Federal de Lausanne
  • Place of Presentation: Switzerland
  • Year and Date: 2006-12-21
• [Presentation] On blow up at spatial infinity for solutions of semilinear heat equations (2006)
  • Author(s): Y. Giga
  • Organizer: Inter national Conference on Nonliner Analysis, National Center for Theoretical Sciences, National Tsing Hua University, Hsinchu
  • Place of Presentation: Taiwan
  • Year and Date: 2006-11-24
• [Presentation] Asymptotic solutions for large time of Hamilton-Jacobi equations, H. Ishii (2006)
  • Author(s): H. Ishii
  • Organizer: International Congress of Mathematicians, Madrid
  • Place of Presentation: Spain
  • Year and Date: 2006-08-26
• [Presentation] Asymptotic solutions for large time of Hamilton-Jacobi equations (2006)
  • Author(s): H. Ishii
  • Organizer: International Congress of Mathematicians
  • Place of Presentation: Madrid, スペイン
  • Year and Date: 2006-08-26
• [Presentation] 特異拡散方程式とその応用発展法手式若手セミナー (2006)
  • Author(s): 儀我美一
  • Organizer: Y. Giga
  • Place of Presentation: 六甲山セミナーハウス, 神戸
  • Year and Date: 2006-08-07
• [Book] International Conference for the 25th Anniversary of Viscosity Solutions, Gakkotosho International Series Mathematical Sciences and Appliations (2008)
  • Author(s): Y. Giga, S. Koike, T. Ozawa, N. Yamada, eds
  • Total Pages: 30
  • Publisher: Gakkotosho
• [Book] International Conference for the 25th Anniversary of Viscosity Solutions (2008)
  • Author(s): Y. Giga, S. Koike, T. Ozawa, N. Yamada, eds
  • Publisher: Gakkotosho International Series, Mathematical Sciences and Appliations
• [Book] International Conference for the 25th Anniversary of Viscosity Solutions (2008)
  • Author(s): Y. Giga, S. Koike T. Ozawa and N. Yamada (eds.)
  • Total Pages: 255
  • Publisher: Gakkotosho, Tokyo
• [Book] Kyoto Conference on the Navier-Stokes equations and their applications(RIMS Kokyuroku, Bessatsu, B1) (2007)
  • Author(s): Y. Giga, H. Kozono, H. Okamoto, Y. Shibata eds
• [Book] Kyoto Conference on the Navier-Stokes equations and their applications (2007)
  • Author(s): Y. Giga, H. Kozono, H. Okamoto, Y. Shibata eds
  • Publisher: RIMS Kokyuroku, Bessatsu
• [Book] RIMS Kokyuroku, Bessatsu (2007)
  • Author(s): Y.Giga, H.Kozono, H.Okamoto and Y.Shibata(編著)
  • Total Pages: 408
  • Publisher: Kyoto Conference on the Navier-Stokes quations and their applications,2007、March
• [Book] Surface Evolution Equations- a level set approach (2006)
  • Author(s): Y. Giga
  • Total Pages: 273
  • Publisher: Birkhauser
• [Book] Surface Evolution Equationsa level set approach (2006)
  • Author(s): Y. Giga
  • Total Pages: 273
  • Publisher: Birkhauser, Basel-Boston-Berlin
• [Book] Birkhauser, Basel-Boton-Berlin (2006)
  • Author(s): Y.Giga
  • Total Pages: 273
  • Publisher: Surface Evolution Equation - a level set approach