Renovating solutions and applications of coefficient inverse problems for partial differential equations

• Project/Area Number: 15H05740
• Research Category: Grant-in-Aid for Scientific Research (S)
• Allocation Type: Single-year Grants
• Research Field: Mathematical analysis
• Research Institution: The University of Tokyo
• Principal Investigator: Yamamoto Masahiro 東京大学, 大学院数理科学研究科, 教授 (50182647)
• Co-Investigator(Kenkyū-buntansha): 中村 玄 北海道大学, 理学研究院, 名誉教授 (50118535) ; 羽田野 祐子 筑波大学, システム情報系, 教授 (60323276) ; 磯崎 洋 立命館大学, 理工学部, 授業担当講師 (90111913)
• Project Period (FY): 2015-05-29 – 2020-03-31
• Project Status: Completed (Fiscal Year 2020)
• Budget Amount: ¥182,000,000 (Direct Cost: ¥140,000,000、Indirect Cost: ¥42,000,000); Fiscal Year 2019: ¥40,690,000 (Direct Cost: ¥31,300,000、Indirect Cost: ¥9,390,000); Fiscal Year 2018: ¥37,700,000 (Direct Cost: ¥29,000,000、Indirect Cost: ¥8,700,000); Fiscal Year 2017: ¥37,180,000 (Direct Cost: ¥28,600,000、Indirect Cost: ¥8,580,000); Fiscal Year 2016: ¥40,300,000 (Direct Cost: ¥31,000,000、Indirect Cost: ¥9,300,000); Fiscal Year 2015: ¥26,130,000 (Direct Cost: ¥20,100,000、Indirect Cost: ¥6,030,000)
• Keywords: 逆問題 / 安定性・一意性 / 係数決定 / 境界値逆問題 / リーマン計量決定 / 複雑流体 / 非整数階偏微分方程式 / 産業数学 / 係数決定逆問題 / 流体力学の基礎方程式 / 楕円型方程式 / 双曲型方程式 / 安定性 / 一意性 / 数学解析 / 複雑流体の逆問題 / 非ニュートン流体 / 一意性・安定性 / リーマン計量決定逆問題 / 粘弾性体の係数決定逆問題 / 関数方程式論 / 非整数階微分方程式

Outline of Final Research Achievements

We studied mathematical analysis and applications of coefficient inverse problems which are the determination of coefficients in partial differential equations by incomplete data of solutions. Our main subjects were: (A) inverse boundary value problems (B) determination of Riemannian metrics (C) inverse problems for non-Newtonian fluids (D) inverse problems for anomalous diffusion (E) Solving real-world inverse problems. We aimed at developing comprehensive mathematical methods for these inverse problems.

Academic Significance and Societal Importance of the Research Achievements

学術的意義：さまざまな現象と直結した逆問題の数学解析を一気に推進して、国際規準となる成果群を確立し、今後の多様な研究の進展の基礎を構築した。数学分野において逆問題という研究領域を拡大し若手の研究者人口を増大させた。社会的意義：環境予測、感染拡大の予測など喫緊の課題の解決において現象を支配するパラメータの決定とそれに基づくシミュレーションという逆問題を組み込んだ方法論の重要性への社会的認知度を、数学解析の成果を通じて広め、さらに産業界からの逆問題的手法の注目度を高めた。その結果、産業界において数学的手法の現場での活用への要求が増大した。

Assessment Rating

Verification Result (Rating)

A

Research Products

• [Int'l Joint Research] Fudan University/Southeast University/Shandong University of Technology(中国)
• [Int'l Joint Research] Aix Marseille University/University of Lorraine(フランス)
• [Int'l Joint Research] Beuth University/Weierstrass Institute/University oif Essen(ドイツ)
• [Int'l Joint Research] Warsaw University of Technology/University of Warsaw(ポルトガル)
• [Int'l Joint Research] Sapienza University of Roma/University of Parma/University of Napoli(イタリア)
• [Int'l Joint Research]
• [Int'l Joint Research] ローマ大学 Ｉ/ナポリ大学(イタリア)
• [Int'l Joint Research] エックス・マルセイユ大学/ナンシー・ロレーヌ大学(フランス)
• [Int'l Joint Research] 復旦大学/東南大学/浙江大学(中国)
• [Int'l Joint Research] コロラド州立大学/ノースカロライナ州立大学(米国)
• [Int'l Joint Research] ベルリン理工大学(ドイツ)
• [Int'l Joint Research]
• [Int'l Joint Research] ローマ大学 Ｉ/ナポリ(イタリア)
• [Int'l Joint Research] エックス/ナンシー(フランス)
• [Int'l Joint Research] コロラド州立大学/ノースカロライナ州立大学(米国)
• [Int'l Joint Research] 復旦大学/東南大学/浙江大学(中国)
• [Int'l Joint Research] ベルリン(ドイツ)
• [Int'l Joint Research]
• [Int'l Joint Research] Rice University/Colorado State University/North Carolina State University(米国)
• [Int'l Joint Research] Fudan University/Southeast University/Zhejiang University(中国)
• [Int'l Joint Research] Grenoble University/Aix-Marseille University/0(フランス)
• [Int'l Joint Research] University Roma La Sapienza/University Roma II/Politechnico di Milano(イタリア)
• [Int'l Joint Research] Weierstrass Institute/Beuth Technische Hochschule/0(ドイツ)
• [Int'l Joint Research]
• [Int'l Joint Research] ローマ大学 Ｉ(イタリア)
• [Int'l Joint Research] Univ. Lorraine/Ａｉｘ Ｍａｒｓｅｉｌｌｅ Univ./Joseph Fourier University(フランス)
• [Int'l Joint Research] Bulent Ecevit University(トルコ)
• [Int'l Joint Research] Colorado State University/North Carolina State University/UCLA(米国)
• [Int'l Joint Research] Southeast University/Fudan University/Zhejiang University(中国)
• [Int'l Joint Research]
• [Journal Article] Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations (2021)
  • Author(s): Y. Kian, M. Yamamoto
  • Journal Title: Fract. Calc. Appl. Anal. Volume: 24 Pages: 168201-168201
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] An inverse source problem related to acoustic nonlinearity parameter (2021)
  • Author(s): M. Yamamoto, B. Kaltenbacher
  • Journal Title: Time-dependent Problems in Imaging and Parameter Identification, Springer-Verlag Volume: 1 Pages: 145-145
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Backward problems in time for fractional diffusion-wave equation (2020)
  • Author(s): G. Floridia, M. Yamamoto
  • Journal Title: Inverse Problems Volume: 36 Pages: 125016-125016
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Stability for inverse source problems by Carleman estimates (2020)
  • Author(s): X. Huang, O. Imanuvilov, M. Yamamoto
  • Journal Title: Inverse Problems Volume: 36 Pages: 125006-125006
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] A parabolic shape optimization problem (2020)
  • Author(s): D. Tiba, M. Yamamoto
  • Journal Title: Ann. Acad. Rom. Sci. Ser. Math. Appl. Volume: 12 Pages: 312328-312328
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Well-posedness for the backward problems in time for general time-fractional diffusion equation (2020)
  • Author(s): G. Floridia, Z. Li, M. Yamamoto
  • Journal Title: Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. Volume: 31 Pages: 593610-593610
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] A Carleman estimate for the linear magnetoelastic waves system and an inverse source problem in a bounded conductive medium (2020)
  • Author(s): M. Bellassoued, C. Moufid, M. Yamamoto
  • Journal Title: Appl. Anal. Volume: 99 Pages: 24282456-24282456
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Conditional stability for an inverse source problem and an application to the estimation of air dose rate of radioactive substances by drone data (2020)
  • Author(s): Chen, Yu; Cheng, Jin; Floridia, Giuseppe; Wada, Youichiro; Yamamoto, Masahiro
  • Journal Title: Math. Eng. Volume: 2 Pages: 2633-2633
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] A stability result for the determination of order in time-fractional diffusion equations (2020)
  • Author(s): Zhiyuan; Huang, Xinchi; Yamamoto, Masahiro
  • Journal Title: J. Inverse Ill-Posed Probl. Volume: 28 Pages: 379388-379388
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Uniqueness of solution of an inverse source problem for ultrahyperbolic equations (2020)
  • Author(s): Goelgeleyen, Fikret and Yamamoto, Masahiro
  • Journal Title: Inverse Problems Volume: 36 Pages: 035008-035008
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Single logarithmic conditional stability in determining unknown boundaries (2020)
  • Author(s): Elschner, J., Hu, G., Yamamoto, M.
  • Journal Title: Appl. Anal. Volume: 99 Pages: 725746-725746
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Carleman estimate for linear viscoelasticity equations and an inverse source problem (2020)
  • Author(s): Imanuvilov, O., Yamamoto, M.
  • Journal Title: SIAM J. Math. Anal. Volume: 52 Pages: 718791-718791
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Unique continuation property with partial information for two-dimensional anisotropic elasticity systems (2020)
  • Author(s): Cheng, Jin; Liu, Yi-kan; Wang, Yanbo; Yamamoto, M.
  • Journal Title: Acta Math. Appl. Sin. Engl. Ser. Volume: 36 Pages: 317-317
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Initial-boundary value problems for multi-term time-fractional diffusion equations with x -dependent coefficients (2020)
  • Author(s): Li, Z.; Huang, X.; Yamamoto, M.
  • Journal Title: Evol. Equ. Control Theory Volume: 9 Pages: 153179-153179
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Carleman estimate and an inverse source problem for the Kelvin-Voigt model for viscoelasticity (2020)
  • Author(s): Imanuvilov, O. Y., Yamamoto, M
  • Journal Title: Inverse Problems Volume: 35 Pages: 125001-125001
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations (2019)
  • Author(s): Kian, Yavar and Yamamoto, Masahiro
  • Journal Title: Inverse Problems Volume: 35 Pages: 115006-115006
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary (2019)
  • Author(s): Imanuvilov, O., Yamamoto, M.
  • Journal Title: Inverse Probl. Imaging Volume: 13 Pages: 12131258-12131258
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Inverse coefficient problems for a transport equation by local Carleman estimate (2019)
  • Author(s): Cannarsa, P., Floridia, G., Goegeleyen, F. and Yamamoto, M
  • Journal Title: Inverse Problems Volume: 35 Pages: 105013-105013
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Unique continuation principle for the one-dimensional time-fractional diffusion equation (2019)
  • Author(s): Li, Zhiyuan and Yamamoto, Masahiro
  • Journal Title: Fract. Calc. Appl. Anal. Volume: 22 Pages: 644657-644657
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Observability inequalities for transport equations through Carleman estimates (2019)
  • Author(s): Cannarsa, Piermarco, Floridia, Giuseppe, and Yamamoto, Masahiro
  • Journal Title: Trends in control theory and partial differential equations, Springer INdAM Volume: 32 Pages: 6987-6987
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Carleman estimates for the time-fractional advection-diffusion equations and applications (2019)
  • Author(s): Huang, Xinchi; Li, Zhiyuan; Yamamoto, Masahiro
  • Journal Title: Inverse Problems Volume: 35 Pages: 045003-045003
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Recovering two coefficients in an elliptic equation via phaseless information (2019)
  • Author(s): Romanov, Vladimir G.; Yamamoto, Masahiro
  • Journal Title: Inverse Probl. Imaging Volume: 13 Pages: 8191-8191
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Logarithmic stability for a coefficient inverse problem of coupled Schroedinger equations (2019)
  • Author(s): Dou, Fangfang; Yamamoto, Masahiro
  • Journal Title: Inverse Problems Volume: 35 Pages: 075006-075006
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data (2019)
  • Author(s): Hoemberg, Dietmar; Lu, Shuai; Yamamoto, Masahiro
  • Journal Title: J. Differential Equations Volume: 266 Pages: 75257544-75257544
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Carleman estimate for the Schroedinger equation and application to magnetic inverse problems (2019)
  • Author(s): Huang, Xinchi; Kian, Yavar; Soccorsi, Eric; Yamamoto, Masahiro
  • Journal Title: J. Math. Anal. Appl. Volume: 474 Pages: 116142-116142
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Weak solutions to non-homogeneous boundary value problems for time-fractional diffusion equations (2018)
  • Author(s): M. Yamamoto
  • Journal Title: J. Math. Anal. Appl. Volume: 460 Pages: 365-381
  • Peer Reviewed
• [Journal Article] Global uniqueness in an inverse problem for time fractional diffusion equations (2018)
  • Author(s): Kian, Y., Oksanen, L., Soccorsi, E., M. Yamamoto
  • Journal Title: J. Differential Equations Volume: 264 Pages: 1146-1170
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] On time-fractional diffusion equations with space-dependent variable order (2018)
  • Author(s): Kian, Y., Soccorsi, E., Yamamoto, M.
  • Journal Title: Ann. Henri Poincare Volume: 19 Pages: 3855-3881
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Phaseless inverse problems with interference waves (2018)
  • Author(s): V.G. Romanov, M. Yamamoto
  • Journal Title: J. Inverse and Ill-posed Problems Volume: 26 Pages: 681-688
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] A survey on the recent results regarding maximum principles for the time-fractional diffusion equations (2018)
  • Author(s): Y. Luchko, M. Yamamoto
  • Journal Title: Frontiers in Fractional Calculus Volume: 1 Pages: 33-69
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Carleman estimates for integro-differential parabolic equations with singular memory kernels (2017)
  • Author(s): Loreti, Paola, Sforza, Daniela and Yamamoto, Masahiro
  • Journal Title: J. Elliptic Parabol. Equ. Volume: 3 Pages: 53-64
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] On the maximum principle for a time-fractional diffusion equation (2017)
  • Author(s): Y. Luchko, M. Yamamoto
  • Journal Title: Fract. Calc. Appl. Anal. Volume: 20 Pages: 1131-1145
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Reconstruction of space-dependent potential and/or damping coefficients in the wave equation (2017)
  • Author(s): Hussein, S. O., Lesnic, D. and Yamamoto, M.
  • Journal Title: Comput. Math. Appl. Volume: 74 Pages: 1435-1454
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Uniqueness in an integral geometry problem and an inverse problem for the kinetic equation (2017)
  • Author(s): Amirov, Arif, Golgeleyen, Fikret and Yamamoto, Masahiro
  • Journal Title: Applicable Analysis Volume: 96 Pages: 2236-2249
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] On Calderon's problem for a system of elliptic equations (2017)
  • Author(s): O. Imanuvilov, M. Yamamoto
  • Journal Title: Publ. Res. Inst. Math. Sci. Volume: 53 Pages: 141-186
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] On Calderon’s problem for a system of elliptic equations (2017)
  • Author(s): Imanuvilov, Oleg; Yamamoto, Masahiro
  • Journal Title: Publ. Res. Inst. Math. Sci. Volume: 53 Pages: 141-186
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] On existence and uniqueness of solutions for semilinear fractional wave equations (2017)
  • Author(s): Kian, Yavar; Yamamoto, Masahiro
  • Journal Title: Fract. Calc. Appl. Anal. Volume: 20 Pages: 117-138
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Inverse source problem for the hyperbolic equation with a time-dependent principal part (2017)
  • Author(s): Jiang, Daijun; Liu, Yikan; Yamamoto, Masahiro
  • Journal Title: J. Differential Equations Volume: 262 Pages: 653-681
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] 社会連携が拡げる新たな数学研究：数学の社会連携の持続的発展を目指して (2017)
  • Author(s): 山本昌宏
  • Journal Title: 数学セミナー Volume: 3 Pages: 73-79
• [Journal Article] 植物個体群における生長と枯死の関係：自己間引きの数学解析 (2017)
  • Author(s): 山本昌宏
  • Journal Title: 数学セミナー Volume: 1 Pages: 77-83
• [Journal Article] Global transformations preserving Sturm-Liouville spectral data (2017)
  • Author(s): H. Isozaki, E. Korotyaev
  • Journal Title: Russian J. of Math. Phys. Volume: 24 Pages: 51-68
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative (2017)
  • Author(s): G. Nakamura, H. Wang
  • Journal Title: Inverse Problems Volume: 33 Pages: 055002-055002
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Reconstruction of Lame moduli and density at the boundary enabling directional elastic wavefield decomposition (2017)
  • Author(s): M. V. de Hoop, G. Nakamura, J. Zhai
  • Journal Title: SIAM J. Appl. Math. Volume: 77 Pages: 520-536
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Uniqueness in an integral geometry problem and an inverse problem for the kinetic equation (2016)
  • Author(s): Arif Amirov, Fikret Goelgeleyen, Yamamoto, Masahiro
  • Journal Title: Applicable Analysis Volume: 95 Issue: 13 Pages: 2236-2249
  • DOI: 10.1080/00036811.2016.1213387
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems. (2016)
  • Author(s): Luchko, Yuri; Yamamoto, Masahiro
  • Journal Title: Fract. Calc. Appl. Anal. Volume: 19 Pages: 676-695
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Strong maximum principle for fractional diffusion equations and an application to an inverse source problem (2016)
  • Author(s): Liu, Yikan; Rundell, William; Yamamoto, Masahiro
  • Journal Title: Fract. Calc. Appl. Anal. Volume: 19 Pages: 888-906
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Stability for some inverse problems for transport equations (2016)
  • Author(s): Goelgeleyen, Fikret; Yamamoto, Masahiro
  • Journal Title: SIAM Math. Anal. Volume: 48 Pages: 2319-2344
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Calderon problem for Maxwell's equations in two dimensions (2016)
  • Author(s): Imanuvilov, Oleg Y.; Yamamoto, Masahiro
  • Journal Title: Journal of Inverse and Ill-posed Problems Volume: 24 Pages: 351-355
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem (2016)
  • Author(s): Bellassoued, Mourad; Imanuvilov, Oleg; Yamamoto, Masahiro
  • Journal Title: Inverse Problems Volume: 32 Pages: 025001-025001
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] On the reconstruction of unknown time-dependent boundary sources for time fractional diffusion process by distributing measurement (2016)
  • Author(s): Liu, J. J.; Yamamoto, M.; Yan, L. L.
  • Journal Title: Inverse Problems Volume: 32 Pages: 015009-015009
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Uniqueness in inverse boundary value problems for fractional diffusion equations (2016)
  • Author(s): Li, Zhiyuan; Imanuvilov, Oleg Yu.; Yamamoto, Masahiro
  • Journal Title: Inverse Problems Volume: 32 Pages: 015004-015004
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Carleman estimate and unique continuation for a structured population model (2016)
  • Author(s): Uesaka, Masaaki; Yamamoto, Masahiro.
  • Journal Title: Applicable Analysis Volume: 95 Pages: 599-614
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] 複雑な構造が似ていることをどう認識するか (2016)
  • Author(s): 山本昌宏、劉逸侃
  • Journal Title: 数学セミナー Volume: 11 Pages: 53-59
• [Journal Article] 製鉄業における課題と逆問題：数学手法の汎用性と技術の横展開（その２） (2016)
  • Author(s): 山本昌宏、中川淳一
  • Journal Title: 数学セミナー Volume: 9 Pages: 79-85
• [Journal Article] 製鉄業における課題と逆問題：数学手法の汎用性と技術の横展開（その１） (2016)
  • Author(s): 山本昌宏、中川淳一
  • Journal Title: 数学セミナー Volume: 7 Pages: 78-84
• [Journal Article] 歪取プロセスの最適なアルゴリズム構築(結）：断面形状の決定 (2016)
  • Author(s): 山本昌宏、木村正人、川合亮平
  • Journal Title: 数学セミナー Volume: 5 Pages: 66-72
• [Journal Article] 世界を理解するための鍵となる「微分方程式」 (2016)
  • Author(s): 山本昌宏
  • Journal Title: ニュートン別冊 Volume: - Pages: 166-169
• [Journal Article] 非整数階微分が現代社会の問題を解決する！ (2016)
  • Author(s): 山本昌宏
  • Journal Title: ニュートン別冊 Volume: - Pages: 174-177
• [Journal Article] 微分の応用：関数の変化を局所的に調べ、大局的につなげること (2016)
  • Author(s): 山本昌宏
  • Journal Title: ニュートン別冊 Volume: - Pages: 178-181
• [Journal Article] Correlation-study about the ambient dose rate and the weather conditions (2016)
  • Author(s): Masato Furuya, Yuko Hatano, Tomoo Aoyama, Yasuhito Igarashi, Kazuyuki Kita, Masahide Ishizuka
  • Journal Title: Geophysical Research Abstracts Volume: 18
  • Peer Reviewed
• [Journal Article] Spectral properties of Schroedinger operators on perturbed lattices (2016)
  • Author(s): K. Ando, H. Isozaki, H. Morioka
  • Journal Title: Ann. Henri Poincare Volume: 17 Pages: 2103-2171
  • Peer Reviewed
• [Journal Article] Exponential decay of solutions to initial boundary value problem for anisotropic visco-elastic systems (2016)
  • Author(s): G. Nakamura, M.Oliva
  • Journal Title: Rend. Istit. Mat. Univ. Trieste Volume: 48 Pages: 5-19
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Improved asymptotic analysis for dynamical probe method (2016)
  • Author(s): Y-G. Ji, K. Kim, G. Nakamura
  • Journal Title: Journal of Inverse and Ill-posed Problems Volume: 24 Pages: 489-498
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Reconstruction of the shear modulus of viscoelastic systems in a thin cylinder: an inversion scheme and experiments (2016)
  • Author(s): J. Eom, H. Kang, G. Nakamura, Y-C. Wang
  • Journal Title: Inverse Problems Volume: 32 Pages: 19-19
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem (2016)
  • Author(s): M. Bellassoued, O,Y. Imanuvilov, M. Yamamoto
  • Journal Title: Inverse Problems Volume: 32 Issue: 2 Pages: 025001-23
  • DOI: 10.1088/0266-5611/32/2/025001
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] On the reconstruction of unknown timedependent boundary sources for time fractional diffusion process by distributing measurement (2016)
  • Author(s): J.J. Liu, L. Yan, M. Yamamoto
  • Journal Title: Inverse Problems Volume: 32 Issue: 1 Pages: 015009-25
  • DOI: 10.1088/0266-5611/32/1/015009
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Uniqueness in inverse boundary value problems for fractional diffusion equations (2016)
  • Author(s): Z. Li, O.Y. Imanuvilov, M. Yamamoto
  • Journal Title: Inverse Problems Volume: 32 Issue: 1 Pages: 015004-16
  • DOI: 10.1088/0266-5611/32/1/015004
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] 社会連携と数学：研究の新展開 連載第6回「歪取プロセスの最適なアルゴリズム構築：シャフトをまっすぐにする（続）」 (2016)
  • Author(s): 木村正人、劉逸侃、山本昌宏
  • Journal Title: 数学セミナー Volume: 2月号 Pages: 70-75
• [Journal Article] Inverse source problem for a double hyperboolic equation describing the three-dimensional time cone model (2015)
  • Author(s): Y. Liu, D. Jiang, M. Yamamoto
  • Journal Title: SIAM J. Appl. Math. Volume: 75 Issue: 6 Pages: 2610-2635
  • DOI: 10.1137/15m1018836
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Hoelder stability estimate of Robin coefficient in corrosion detection with a single boundary measurement (2015)
  • Author(s): G. Hu, M. Yamamoto
  • Journal Title: Inverse Problems Volume: 31 Issue: 11 Pages: 115009-20
  • DOI: 10.1088/0266-5611/31/11/115009
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials (2015)
  • Author(s): E. Blasten, O.Y. Imanuvilov, M. Yamamoto
  • Journal Title: Inverse Problems and Imaging Volume: 9 Issue: 3 Pages: 709-723
  • DOI: 10.3934/ipi.2015.9.709
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Remark on boundary data for inverse boundary value problems for the Navier-Stokes equations (2015)
  • Author(s): O.Y. Imanuvilov, M. Yamamoto
  • Journal Title: Inverse Problems Volume: 31 Issue: 10 Pages: 109401-4
  • DOI: 10.1088/0266-5611/31/10/109401
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Inverse problem on a tree-shaped network: unified approach for uniqueness (2015)
  • Author(s): L. Baudouin, M. Yamamoto
  • Journal Title: Applicable Analysis Volume: 94 Issue: 11 Pages: 2370-2395
  • DOI: 10.1080/00036811.2014.985214
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Calderon problem for Maxwell's equations in the waveguide (2015)
  • Author(s): O.Y. Imanuvilov, M. Yamamoto
  • Journal Title: Contemporary Math. Volume: 640 Pages: 137-168
  • DOI: 10.1090/conm/640/12853
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] An inverse problem for the Vlasov-Poisson system (2015)
  • Author(s): F. Goelgeleyen, M. Yamamoto
  • Journal Title: J. Inverse and Ill-posed Problems Volume: 23 Issue: 4 Pages: 363-372
  • DOI: 10.1515/jiip-2014-0004
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] The Neumann-to-Dirichlet map in two dimensions (2015)
  • Author(s): O.Y. Imanuvilov, G.Uhlmann, M. Yamamoto
  • Journal Title: Adv. Math. Volume: 281 Pages: 578-593
  • DOI: 10.1016/j.aim.2015.03.026
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Time-fractional diffusion equation in the fractional Sobolev spaces (2015)
  • Author(s): R. Gorenflo, Y. Luchko, M. Yamamoto
  • Journal Title: Frac. Calc. Appl. Anal. Volume: 18 Issue: 3 Pages: 799-820
  • DOI: 10.1515/fca-2015-0048
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Global uniqueness in inverse boundary value problems for the Navier-Stokes equations and Lame system in two dimensions (2015)
  • Author(s): O. Y. Imanuvilov, M. Yamamoto
  • Journal Title: Inverse Problems Volume: 31 Issue: 3 Pages: 035004-46
  • DOI: 10.1088/0266-5611/31/3/035004
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients (2015)
  • Author(s): Z. Li, Y. Liu, M. Yamamoto
  • Journal Title: Appl. Math. Comput. Volume: 257 Pages: 381-397
  • DOI: 10.1016/j.amc.2014.11.073
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation (2015)
  • Author(s): Z. Li, M. Yamamoto
  • Journal Title: Applicable Analysis Volume: 94 Pages: 570-579
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type (2015)
  • Author(s): J. Elschner, G.Hu, M. Yamamoto
  • Journal Title: Inverse Problems and Imaging Volume: 9 Issue: 1 Pages: 127-141
  • DOI: 10.3934/ipi.2015.9.127
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] On the uniqueness and reconstruction for an inverse problem of the fractional diffusion process (2015)
  • Author(s): J.J. Liu, L. Yan, M. Yamamoto
  • Journal Title: Appl. Numer. Math. Volume: 87 Pages: 1-19
  • DOI: 10.1016/j.apnum.2014.08.001
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] 土壌中放射性核種の下方浸透のモデル化と移流拡散による濃度予測 (2015)
  • Author(s): 岡 宏樹, 羽田野 祐子, 山本昌宏
  • Journal Title: Proceedings of the 16th Workshop on Environmental Radioactivity Volume: 1 Pages: 258-265
  • Peer Reviewed
• [Journal Article] 社会連携と数学：研究の新展開 連載第5回「数学を活用する方策としてのスタディグループとものづくり企業との連携事例」 (2015)
  • Author(s): 山本昌宏
  • Journal Title: 数学セミナー Volume: 12月号 Pages: 73-79
• [Journal Article] 社会連携と数学：研究の新展開 連載第4回 「インターネット空間上の情報伝播：Twitter と掲示板による商品宣伝の数学」 (2015)
  • Author(s): 本間充、山本昌宏
  • Journal Title: 数学セミナー Volume: 10月号 Pages: 72-78
• [Journal Article] 社会連携と数学：研究の新展開 連載第3回「インターネット空間上の情報伝播：Twitter はどのように拡がっていくか？広告の有効な手段か？」 (2015)
  • Author(s): 本間充、山本昌宏
  • Journal Title: 数学セミナー Volume: 8月号 Pages: 59-65
• [Journal Article] 社会連携と数学：研究の新展開 連載第2回「農地除染の問題：土中のセシウム濃度の長期予測の数学的な解決の試み（結）」 (2015)
  • Author(s): 羽田野祐子、山本昌宏
  • Journal Title: 数学セミナー Volume: 6月号 Pages: 62-68
• [Presentation] Applied Mathematical Analysis - resolutions of real-world problems and deepening of theories (2019)
  • Author(s): 山本昌宏
  • Organizer: ルーマニア科学者アカデミー名誉会員就任記念講演
  • Int'l Joint Research / Invited
• [Presentation] Analyses for Inverse Problems Related to the Fukushima Daiichi Nuclear Disaster: an Application of Mathematicsonya, Turkey (2019)
  • Author(s): 山本昌宏
  • Organizer: International Conference on Mathematics and Mathematics Education, Sercuk University, Konya, Turkey
  • Int'l Joint Research / Invited
• [Presentation] Inverse problems for isothermal compressible viscous fluids (2018)
  • Author(s): 山本昌宏
  • Organizer: Conference on Mathematical Fluid Dynamics
  • Int'l Joint Research / Invited
• [Presentation] Mathematical analysis of inverse problems for coupling systems in fluids, viscoelasticity dynamics (2018)
  • Author(s): 山本昌宏
  • Organizer: 9th International Conference "Inverse Problems: Modeling & Simulation”
  • Int'l Joint Research / Invited
• [Presentation] Inverse source problems for a parabolic and a hyperbolic equations: non classical settings (2018)
  • Author(s): 山本昌宏
  • Organizer: 10th Annual Meeting on Inverse Problems
  • Int'l Joint Research / Invited
• [Presentation] Stability and uniqueness for inverse problems for transport equations (2018)
  • Author(s): 山本昌宏
  • Organizer: Workshop on Mathematical and Computational Challenges of Medical Imaging and Inverse Problems
  • Int'l Joint Research / Invited
• [Presentation] Spectral theory and inverse scattering on graphen (2018)
  • Author(s): 磯崎洋
  • Organizer: Inverse Problems, PDE and Geometry
  • Int'l Joint Research / Invited
• [Presentation] Carleman estimates for parabolic and hyperbolic equations with discontinuous principal parts and application (2017)
  • Author(s): 山本昌宏
  • Organizer: Inverse Problems and Related Fields
  • Int'l Joint Research / Invited
• [Presentation] Carleman estimates and inverse problems for viscoelasticity equation and related equations (2017)
  • Author(s): 山本昌宏
  • Organizer: Applied Inverse Problems
  • Int'l Joint Research / Invited
• [Presentation] Activities in Japan for Collaboration for Industry and Public Safety and Secure: Present and Future (2017)
  • Author(s): 山本昌宏
  • Organizer: Forum on Innovation Talent through Academic-Industry Partnership
  • Int'l Joint Research / Invited
• [Presentation] Lipschitz stability for inverse source problems for hyperbolic-parabolic systems in fluid dynamics (2017)
  • Author(s): 山本昌宏
  • Organizer: Differential Equations and Applications
  • Int'l Joint Research / Invited
• [Presentation] Inverse boundary value problem for identifying elasticity tensor by boundary measurements (2017)
  • Author(s): 中村玄
  • Organizer: International Conference Control Theory, Integral Geometry, and Inverse Problems
  • Int'l Joint Research / Invited
• [Presentation] Identification of elasticity tensor by boundary measurements (2017)
  • Author(s): 中村玄
  • Organizer: MATH+X Symp. on Seismology and Inverse Problems
  • Place of Presentation: Rice Univ., Houston, U.S.A
  • Int'l Joint Research / Invited
• [Presentation] Inverse boundary value problems by partial Cauchy data for Maxwell’s equations and Schroedinger equations: cases of waveguides and cylindrical domains,, (2016)
  • Author(s): 山本昌宏
  • Organizer: New Trends in Theoretical and Numerical Analysis of Waveguides
  • Place of Presentation: Porquerolles (IGESA), Ｆｒａｎｃｅ
  • Int'l Joint Research / Invited
• [Presentation] Forward and inverse problems for fractional diffusion equations: some overview (2016)
  • Author(s): 山本昌宏
  • Organizer: 4th International Workshop on Computational Inverse Problems and Applications
  • Place of Presentation: Shandong University of Technology, Zibo, 中国
  • Int'l Joint Research / Invited
• [Presentation] Inverse problems of determining moving sources in wave equation and heat equation: some overview (2016)
  • Author(s): 山本昌宏
  • Organizer: SIMAI 2016
  • Place of Presentation: Politecnico di Milano, イタリア
  • Int'l Joint Research
• [Presentation] Well-posedness of initial - boundary value problems for time-fractional diffusion equations and inverse problems (2016)
  • Author(s): 山本昌宏
  • Organizer: Chemnitzer Symposium on Inverse Problems
  • Place of Presentation: Technische Universitaet Chemnitz, ドイツ
  • Int'l Joint Research / Invited
• [Presentation] Unique existence and qualitative studies of solutions to initial - boundary value problems for time-fractional diffusion equations and applications (2016)
  • Author(s): 山本昌宏
  • Organizer: Workshop on Control and Inverse Problems for Partial Differential Equations
  • Place of Presentation: Zhejiang University, 中国
  • Int'l Joint Research / Invited
• [Presentation] Coefficient inverse problems for integro-partial differential equations by Carleman estimates: viscoelasticity (2016)
  • Author(s): 山本昌宏
  • Organizer: Inverse Problems and Related Topics
  • Place of Presentation: FRUMAM, Aix-Marseille Universite, フランス
  • Int'l Joint Research / Invited
• [Presentation] Probe type method for acoustic wave equations with discontinuous coefficients (2016)
  • Author(s): 中村玄
  • Organizer: Analysis and Numerics of Acoustic and Electromagnetic Problems
  • Place of Presentation: RICAM, Linz Uni., Austria
  • Int'l Joint Research / Invited
• [Presentation] Carleman estimates and applications to inverse problems for the Navier-Stokes equations and related fluid equations (2015)
  • Author(s): 山本昌宏
  • Organizer: Probl`emes inverses et domaines associ'es, FRUMAM Aix-Marseille Univ.
  • Place of Presentation: マルセイユ（フランス）
  • Year and Date: 2015-12-04
  • Int'l Joint Research / Invited
• [Presentation] Expanding applications of inverse problems in industry and environments: case studies (2015)
  • Author(s): 山本昌宏
  • Organizer: Taiwan-Japan Joint Conference on Inverse Problems and Related Topics (台湾国立大学)
  • Place of Presentation: 台北（台湾）
  • Year and Date: 2015-11-22
  • Int'l Joint Research / Invited
• [Presentation] 数学をものづくりに役立てるには：事例紹介と数学者の活用法 (2015)
  • Author(s): 山本昌宏
  • Organizer: ものづくり企業に役立つ応用数理手法の研究会 「産業界と数学の連携について」
  • Place of Presentation: 筑波大学東京キャンパス（東京都・文京区）
  • Year and Date: 2015-10-08
  • Invited
• [Presentation] Carleman estimates and inverse problems for viscoelasticity and fluid dynamics (2015)
  • Author(s): 山本昌宏
  • Organizer: International Conference ”Inverse Problems, Imaging and Applications”（Zhejiang Univ.)
  • Place of Presentation: 杭州（中国）
  • Year and Date: 2015-08-07
  • Int'l Joint Research / Invited
• [Presentation] Carleman estimates and inverse problems for viscoelasticity and Navier-Stokes equations (2015)
  • Author(s): 山本昌宏
  • Organizer: New Advances in PDE's Inverse Problems and Control Theory (Univ. Parma)
  • Place of Presentation: パルマ（イタリア）
  • Year and Date: 2015-07-08
  • Int'l Joint Research / Invited
• [Presentation] Carleman estimates and inverse problems for the Navier-Stokes equations and related equations (2015)
  • Author(s): 山本昌宏
  • Organizer: Stability and Reconstruction Issues (Institute of Henri Poincar'e)
  • Place of Presentation: パリ（フランス）
  • Year and Date: 2015-06-29
  • Int'l Joint Research / Invited
• [Book] Time-fractional Differential Equations - A Theoretical Introduction (2020)
  • Author(s): Kubica, A., Ryszewska, K. and Yamamto, M.
  • Total Pages: 134
  • Publisher: Springer-Verlag
  • ISBN: 9789811590658
• [Book] 解析力学と微分方程式 (数学と物理の交差点 (2020)
  • Author(s): 磯崎 洋
  • Total Pages: 303
  • Publisher: 共立
  • ISBN: 9784320114012
• [Book] 4 chapters including "Inverse problems of determining coefficients of the fractional partial differential equations" of Handbook of fractional calculus with applications (2019)
  • Author(s): Li, Zhiyuan, Liu, Yikan, Luchko, Yuri, and Yamamoto, Masahiro
  • Total Pages: 82
  • Publisher: De Gruyter, Berlin, 2019
  • ISBN: 9783110570823
• [Book] Maxwell equation ―Inverse scattering in Electromagnetism (2018)
  • Author(s): 磯崎洋
  • Total Pages: 300
  • Publisher: World Scientific
  • ISBN: 9789813232693
• [Book] Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems (2017)
  • Author(s): M. Bellassoued and M. Yamamoto
  • Total Pages: 260
  • Publisher: Springer Japan
  • ISBN: 9784431565987
• [Book] 第１２講 応用解析－非整数階偏微分方程式の新理論とその応用(斎藤毅・河東泰之・小林俊行編「数学の現在」所収） (2016)
  • Author(s): 山本昌宏
  • Total Pages: 21
  • Publisher: 東京大学出版会
• [Remarks] 3
• [Remarks]
  • URL: http://www.ms.u-tokyo.ac.jp/~myama/kiban_S/index.html
• [Funded Workshop] Inverse problems and medical imaging (2017)
  • Place of Presentation: 東京大学大学院数科学研究科
  • Year and Date: 2017-02-13
• [Funded Workshop] 非整数階微分方程式と環境汚染の数理についてのミニワークショップ (2017)
  • Place of Presentation: 東京大学大学院数理科学研究科