Edit Profile (opens in new tab) Yamamoto, Masahiro Co-Author Distance Author ID: yamamoto.masahiro Published as: Yamamoto, Masahiro; Yamamoto, M. External Links: Math-Net.Ru · GND Documents Indexed: 420 Publications since 1985, including 3 Books and 42 Additional arXiv Preprints 14 Contributions as Editor Co-Authors: 179 Co-Authors with 398 Joint Publications 5,396 Co-Co-Authors all top 5 Co-Authors 30 single-authored 61 Imanuvilov, Oleg Yu. 48 Cheng, Jin 21 Li, Zhiyuan 21 Liu, Yikan 18 Bellassoued, Mourad 16 Choulli, Mourad 12 Kian, Yavar 11 Huang, Xinchi 11 Luchko, Yuri 11 Nakagiri, Shin-ichi 11 Saitoh, Saburou 10 Elschner, Johannes 10 Hon, Yiu-Chung 9 Cannarsa, Piermarco 8 Ang, Dang Dinh 8 Isakov, Victor M. 8 Uhlmann, Gunther Alberto 7 Anikonov, Yuriĭ Evgenievich 7 Floridia, Giuseppe 7 Gorenflo, Rudolf 7 Hu, Guanghui 7 Lu, Shuai 7 Puel, Jean-Pierre 7 Romanov, Vladimir Gavrilovich 6 Golgeleyen, Fikret 6 Sakamoto, Kenichi 6 Zou, Jun 5 Bruckner, Gottfried 5 Doubova, Anna 5 Hofmann, Bernd 5 Hömberg, Dietmar 5 Li, Shumin 5 Ling, Leevan 5 Liu, Hongyu 5 Loreti, Paola 5 Nakagawa, Junichi 5 Sforza, Daniela 5 Soccorsi, Eric 5 Trong, Dang Duc 4 Amirov, Arif 4 Ikehata, Masaru 4 Jiang, Daijun 4 Kim, Sungwhan 4 Rundell, William 4 Trooshin, Igor Yu. 4 Vu Kim Tuan 4 Xu, Dinghua 3 Apraiz, Jone 3 Bukhgeǐm, Alexandre L. 3 Cristofol, Michel 3 Fernández-Cara, Enrique 3 Grasselli, Maurizio 3 Han, Bo 3 Jellali, D. 3 Kabanikhin, Sergeĭ Igorevich 3 Liu, Jijun 3 Machida, Manabu 3 Park, Jong Yeoul 3 Suzuki, Takashi 3 Wang, Jenn-Nan 3 Wang, Wenyan 3 Wang, Yanbo 3 Wei, Ting 3 Yuan, Ganghua 3 Zhang, Xu 2 Baudouin, Lucie 2 Chung, Tsz Shun Eric 2 Dou, Fangfang 2 Gaitan, Patricia 2 Kawamoto, Atsushi 2 Klibanov, Michael V. 2 Komornik, Vilmos 2 Kubica, Adam 2 Lee, June-Yub 2 Li, Gongsheng 2 Lorenzi, Alfredo 2 Lorenzi, Luca 2 Miyazaki, Takeshi 2 Nakamura, Gen 2 Ning, Wuqing 2 Prössdorf, Siegfried 2 Schmidt, Gunther 2 Seo, Jin Keun 2 Takeuchi, Tomoya 2 Tiba, Dan 2 Tort, Jacques 2 Xu, Xiang 2 Yamazaki, Tomohiro 1 Alabau-Boussouira, Fatiha 1 Amano, Kazuo 1 Beauchard, Karine 1 Beckers, Susanne 1 Beilina, Larisa 1 Benabdallah, Assia 1 Blåsten, Eemeli 1 Böttcher, Albrecht 1 Brunner, Hermann 1 Cavaterra, Cecilia 1 Chen, Wenbin 1 Cheng, Xing ...and 83 more Co-Authors all top 5 Serials 79 Inverse Problems 42 Applicable Analysis 33 Journal of Inverse and Ill-Posed Problems 12 Journal of Mathematical Analysis and Applications 10 Fractional Calculus & Applied Analysis 10 Inverse Problems and Imaging 8 Chinese Annals of Mathematics. Series B 7 SIAM Journal on Mathematical Analysis 5 Mathematical Methods in the Applied Sciences 4 Journal of Differential Equations 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Communications in Partial Differential Equations 4 Vietnam Journal of Mathematics 4 Inverse Problems in Science and Engineering 3 Scientific Papers of the College of Arts and Sciences 3 Japan Journal of Applied Mathematics 3 Applied Mathematics Letters 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Doklady Mathematics 3 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 3 Journal of Math-for-Industry 3 Mathematical Control and Related Fields 2 Computers & Mathematics with Applications 2 International Journal of Control 2 Applied Mathematics and Optimization 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of the Faculty of Science. Section I A 2 Journal of Mathematics of Kyoto University 2 Journal of Optimization Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Numerical Mathematics 2 Kobe Journal of Mathematics 2 Journal of Elasticity 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 RIMS Kokyuroku 2 Journal of the Physical Society of Japan 2 Communications on Pure and Applied Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Matimyás Matematika 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Integral Equations and Operator Theory 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Sūgaku 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Mathematical Systems, Estimation, and Control 1 SIAM Journal on Scientific Computing 1 Numerical Mathematics 1 Computational and Applied Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 NoDEA. Nonlinear Differential Equations and Applications 1 Methods and Applications of Analysis 1 Integral Transforms and Special Functions 1 Computer Mathematics and its Applications 1 Discrete and Continuous Dynamical Systems 1 Kuwait Journal of Science and Engineering 1 Journal of Inequalities and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique 1 Nonlinear Analysis. Real World Applications 1 Mathematical Reports 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Milan Journal of Mathematics 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 Communications in Mathematical Sciences 1 Analysis and Applications (Singapore) 1 International Journal of Computational Methods 1 Publications of the HoChiMinh City Mathematical Society 1 International Society for Analysis, Applications and Computation 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Communications in Computational Physics 1 COE Lecture Note 1 Numerical Mathematics: Theory, Methods and Applications 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Inverse and Ill-Posed Problems Series 1 Springer Proceedings in Mathematics & Statistics 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 MI Lecture Note ...and 4 more Serials all top 5 Fields 346 Partial differential equations (35-XX) 56 Numerical analysis (65-XX) 46 Mechanics of deformable solids (74-XX) 45 Systems theory; control (93-XX) 33 Integral equations (45-XX) 23 Real functions (26-XX) 23 Ordinary differential equations (34-XX) 21 Fluid mechanics (76-XX) 18 Optics, electromagnetic theory (78-XX) 16 Operator theory (47-XX) 14 General and overarching topics; collections (00-XX) 13 Integral transforms, operational calculus (44-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 5 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 4 Potential theory (31-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 327 Publications have been cited 6,840 times in 2,946 Documents Cited by ▼ Year ▼ Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems. Zbl 1219.35367 Sakamoto, Kenichi; Yamamoto, Masahiro 637 2011 Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Zbl 1181.35322 Cheng, Jin; Nakagawa, Junichi; Yamamoto, Masahiro; Yamazaki, Tomohiro 193 2009 Carleman estimates for parabolic equations and applications. Zbl 1194.35512 Yamamoto, Masahiro 167 2009 A backward problem for the time-fractional diffusion equation. Zbl 1204.35177 Liu, J. J.; Yamamoto, M. 153 2010 Lipschitz stability in inverse parabolic problems by the Carleman estimate. Zbl 0992.35110 Imanuvilov, Oleg Yu; Yamamoto, Masahiro 127 1998 Time-fractional diffusion equation in the fractional Sobolev spaces. Zbl 1499.35642 Gorenflo, Rudolf; Luchko, Yuri; Yamamoto, Masahiro 118 2015 Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients. Zbl 1338.35471 Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro 115 2015 Global Lipschitz stability in an inverse hyperbolic problem by interior observations. Zbl 0983.35151 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 106 2001 Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation. Zbl 1281.65125 Li, Gongsheng; Zhang, Dali; Jia, Xianzheng; Yamamoto, Masahiro 100 2013 Carleman estimates and applications to inverse problems for hyperbolic systems. Zbl 1412.35002 Bellassoued, Mourad; Yamamoto, Masahiro 97 2017 Global uniqueness and stability in determining coefficients of wave equations. Zbl 0985.35108 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 95 2001 Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations. Zbl 1065.35079 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 94 2003 Uniqueness and stability in multidimensional hyperbolic inverse problems. Zbl 0923.35200 Yamamoto, Masahiro 90 1999 Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method. Zbl 0822.35154 Yamamoto, Masahiro 87 1995 Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Zbl 0987.35166 Yamamoto, Masahiro; Zou, Jun 82 2001 One new strategy for a priori choice of regularizing parameters in Tikhonov’s regularization. Zbl 0957.65052 Cheng, J.; Yamamoto, M. 80 2000 Numerical simulations of 2D fractional subdiffusion problems. Zbl 1197.65143 Brunner, Hermann; Ling, Leevan; Yamamoto, Masahiro 77 2010 Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations. Zbl 1372.35364 Jiang, Daijun; Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro 73 2017 The Calderón problem with partial data in two dimensions. Zbl 1201.35183 Imanuvilov, Oleg Yu.; Uhlmann, Gunther; Yamamoto, Masahiro 70 2010 Coefficient inverse problem for a fractional diffusion equation. Zbl 1278.35268 Miller, Luc; Yamamoto, Masahiro 68 2013 Inverse source problem with a final overdetermination for a fractional diffusion equation. Zbl 1241.35220 Sakamoto, Kenichi; Yamamoto, Masahiro 67 2011 Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation. Zbl 1327.35408 Li, Zhiyuan; Yamamoto, Masahiro 67 2015 On a global estimate in a linear inverse hyperbolic problem. Zbl 0862.35141 Puel, Jean-Pierre; Yamamoto, Masahiro 64 1996 Determination of a coefficient in an acoustic equation with a single measurement. Zbl 1020.35117 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 64 2003 Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Zbl 1346.35216 Liu, Yikan; Rundell, William; Yamamoto, Masahiro 63 2016 On existence and uniqueness of solutions for semilinear fractional wave equations. Zbl 1362.35323 Kian, Yavar; Yamamoto, Masahiro 60 2017 Global uniqueness in an inverse problem for time fractional diffusion equations. Zbl 1376.35099 Kian, Y.; Oksanen, L.; Soccorsi, E.; Yamamoto, M. 56 2018 General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems. Zbl 1499.35667 Luchko, Yuri; Yamamoto, Masahiro 56 2016 Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations. Zbl 1312.35184 Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro 56 2014 Uniqueness in inverse boundary value problems for fractional diffusion equations. Zbl 1332.35396 Li, Zhiyuan; Imanuvilov, Oleg Yu; Yamamoto, Masahiro 53 2016 Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients. Zbl 1398.35271 Kubica, Adam; Yamamoto, Masahiro 53 2018 Identification of source locations in two-dimensional heat equations. Zbl 1112.35147 Ling, Leevan; Yamamoto, Masahiro; Hon, Y. C.; Takeuchi, Tomoya 52 2006 Conditional stability in determination of force terms of heat equations in a rectangle. Zbl 0799.35228 Yamamoto, M. 50 1993 Lipschitz stability of an inverse problem for an acoustic equation. Zbl 1274.35413 Klibanov, Michael V.; Yamamoto, Masahiro 50 2006 Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate. Zbl 1256.35195 Yamamoto, Masahiro; Zhang, Ying 50 2012 Determination of order in fractional diffusion equation. Zbl 1446.35247 Hatano, Yuko; Nakagawa, Junichi; Wang, Shengzhang; Yamamoto, Masahiro 49 2013 Generic well-posedness of an inverse parabolic problem – the Hölder-space approach. Zbl 0851.35133 Choulli, Mourad; Yamamoto, Masahiro 48 1996 Conditional stability in determining a heat source. Zbl 1081.35136 Choulli, M.; Yamamoto, M. 47 2004 Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation. Zbl 1273.65131 Luchko, Yuri; Rundell, William; Yamamoto, Masahiro; Zuo, Lihua 47 2013 Time-fractional differential equations. A theoretical introduction. Zbl 1485.34002 Kubica, Adam; Ryszewska, Katarzyna; Yamamoto, Masahiro 47 2020 An inverse problem for the dynamical Lamé system with two sets of boundary data. Zbl 1044.35105 Imanuvilov, Oleg; Isakov, Victor; Yamamoto, Masahiro 46 2003 Overview to mathematical analysis for fractional diffusion equations – new mathematical aspects motivated by industrial collaboration. Zbl 1206.35247 Nakagawa, Junichi; Sakamoto, Kenichi; Yamamoto, Masahiro 44 2010 Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem. Zbl 1409.35221 Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro 43 2017 Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation. Zbl 1091.35112 Bellassoued, Mourad; Yamamoto, Masahiro 42 2006 Determination of source terms in a degenerate parabolic equation. Zbl 1200.35319 Cannarsa, P.; Tort, J.; Yamamoto, M. 42 2010 Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves. Zbl 1041.35078 Cheng, J.; Yamamoto, M. 41 2005 Carleman estimate for a fractional diffusion equation with half order and application. Zbl 1236.35199 Xu, Xiang; Cheng, Jin; Yamamoto, Masahiro 41 2011 Stability for an inverse boundary problem of determining a part of a boundary. Zbl 0934.35202 Bukhgeim, A. L.; Cheng, J.; Yamamoto, M. 38 1999 Numerical method in reproducing kernel space for an inverse source problem for the fractional diffusion equation. Zbl 1296.65126 Wang, Wenyan; Yamamoto, Masahiro; Han, Bo 38 2013 Carleman estimate for a parabolic equation in a Sobolev space of negative order and its applications. Zbl 0977.93041 Imanuvilov, O. Yu.; Yamamoto, M. 37 2001 On time-fractional diffusion equations with space-dependent variable order. Zbl 1406.35466 Kian, Yavar; Soccorsi, Eric; Yamamoto, Masahiro 37 2018 On the maximum principle for a time-fractional diffusion equation. Zbl 1374.35426 Luchko, Yuri; Yamamoto, Masahiro 35 2017 Lipschitz stability for a hyperbolic inverse problem by finite local boundary data. Zbl 1110.35098 Bellassoued, M.; Jellali, D.; Yamamoto, M. 35 2006 Stability estimate for an inverse wave equation and a multidimensional Borg-Levinson theorem. Zbl 1171.35123 Bellassoued, Mourad; Choulli, Mourad; Yamamoto, Masahiro 33 2009 Carleman estimates for parabolic equations with nonhomogeneous boundary conditions. Zbl 1184.35087 Imanuvilov, Oleg Yu; Puel, Jean Pierre; Yamamoto, Masahiro 33 2009 Numerical computation of a Cauchy problem for Laplace’s equation. Zbl 0999.65100 Cheng, J.; Hon, Y. C.; Wei, T.; Yamamoto, M. 32 2001 Inverse eigenvalue problem for a vibration of a string with viscous drag. Zbl 0717.73046 Yamamoto, Masahiro 32 1990 Operator theoretic treatment of linear Abel integral equations of first kind. Zbl 1306.47057 Gorenflo, Rudolf; Yamamoto, Masahiro 31 1999 Controllability for parabolic equations with uniformly bounded nonlinear terms. Zbl 0682.93012 Yamamoto, M.; Park, J. Y. 31 1990 Carleman estimates for the nonstationary Lamé system and the application to an inverse problem. Zbl 1089.35086 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 31 2005 Unique continuation on a line for harmonic functions. Zbl 0905.31001 Cheng, Jin; Yamamoto, Masahiro 31 1998 Lipschitz stability in the determination of the principal part of a parabolic equation. Zbl 1182.35238 Yuan, Ganghua; Yamamoto, Masahiro 31 2009 Inverse problem for a parabolic system with two components by measurements of one component. Zbl 1221.35444 Benabdallah, Assia; Cristofol, Michel; Gaitan, Patricia; Yamamoto, Masahiro 30 2009 Reflection principle for the Maxwell equations and its application to inverse electromagnetic scattering. Zbl 1126.35073 Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun 29 2007 Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data. Zbl 0809.35154 Engl, Heinz W.; Scherzer, Otmar; Yamamoto, Masahiro 28 1994 Reconstruction of a moving boundary from Cauchy data in one-dimensional heat equation. Zbl 1165.65387 Wei, T.; Yamamoto, M. 27 2009 Inverse heat problem of determining time-dependent source parameter in reproducing kernel space. Zbl 1256.35206 Wang, Wenyan; Han, Bo; Yamamoto, Masahiro 27 2013 Inverse source problem for the hyperbolic equation with a time-dependent principal part. Zbl 1362.35334 Jiang, Daijun; Liu, Yikan; Yamamoto, Masahiro 25 2017 Inverse source problem for linearized Navier-Stokes equations with data in arbitrary sub-domain. Zbl 1302.35432 Choulli, Mourad; Imanuvilov, Oleg Yu.; Puel, Jean-Pierre; Yamamoto, Masahiro 25 2013 On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems. Zbl 1207.47065 Hofmann, Bernd; Yamamoto, Masahiro 25 2010 Unique continuation for a stationary isotropic Lamé system with variable coefficients. Zbl 0892.35054 Dang Ding Ang; Ikehata, Masaru; Dang Duc Trong; Yamamoto, Masahiro 24 1998 Convergence rates for Tikhonov regularization from different kinds of smoothness conditions. Zbl 1110.65041 Böttcher, Albrecht; Hofmann, Bernd; Tautenhahn, Ulrich; Yamamoto, Masahiro 23 2006 Inverse problem of determining the density and two Lamé coefficients by boundary data. Zbl 1168.35447 Bellassoued, M.; Imanuvilov, O.; Yamamoto, M. 23 2008 Determination of a coefficient in the wave equation with a single measurement. Zbl 1149.35404 Bellassoued, Mourad; Yamamoto, Masahiro 23 2008 A numerical method for solving the inverse heat conduction problem without initial value. Zbl 1193.35254 Wang, Y. B.; Cheng, J.; Nakagawa, J.; Yamamoto, M. 23 2010 Some stability estimates in determining sources and coefficients. Zbl 1110.35100 Choulli, M.; Yamamoto, M. 22 2006 Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations. Zbl 1427.35360 Kian, Yavar; Yamamoto, Masahiro 22 2019 An inverse parabolic problem with non-zero initial condition. Zbl 0867.35112 Choulli, Mourad; Yamamoto, Masahiro 22 1997 Conditional stability and numerical reconstruction of initial temperature. Zbl 1181.65121 Li, Jingzhi; Yamamoto, Masahiro; Zou, Jun 22 2009 Stability estimate for the hyperbolic inverse boundary value problem by local Dirichlet-to-Neumann map. Zbl 1148.35044 Bellassoued, M.; Jellali, D.; Yamamoto, M. 22 2008 Reverse convolution inequalities and applications to inverse heat source problems. Zbl 1029.44002 Saitoh, Saburou; Tuan, Vu Kim; Yamamoto, Masahiro 22 2002 An inverse problem in periodic diffractive optics: Reconstruction of Lipschitz grating profiles. Zbl 1028.78008 Elschner, Johannes; Yamamoto, Masahiro 22 2002 Lipschitz stability in determining density and two Lamé coefficients. Zbl 1154.35455 Bellassoued, Mourad; Yamamoto, Masahiro 21 2007 Controllability and observability of linear retarded systems in Banach spaces. Zbl 0676.93029 Nakagiri, Shin-Ichi; Yamamoto, Masahiro 21 1989 Weak solutions to non-homogeneous boundary value problems for time-fractional diffusion equations. Zbl 1470.35417 Yamamoto, Masahiro 20 2018 Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems. Zbl 1031.34082 Trooshin, Igor; Yamamoto, Masahiro 20 2001 Unique continuation and approximate controllability for a degenerate parabolic equation. Zbl 1248.35034 Cannarsa, Piermarco; Tort, Jacques; Yamamoto, Masahiro 20 2012 Approximate controllability for fractional diffusion equations by interior control. Zbl 1295.93009 Fujishiro, Kenichi; Yamamoto, Masahiro 19 2014 Regularity and unique existence of solution to linear diffusion equation with multiple time-fractional derivatives. Zbl 1273.35289 Beckers, Susanne; Yamamoto, Masahiro 19 2013 Inverse source identification for Poisson equation. Zbl 1194.65130 Ling, Leevan; Hon, Y. C.; Yamamoto, M. 19 2005 Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations. Zbl 1474.35689 Beilina, L.; Cristofol, M.; Li, S.; Yamamoto, M. 18 2018 Conditional stability estimation for an inverse boundary problem with non-smooth boundary in \(\mathcal{R}^3\). Zbl 0970.35163 Cheng, J.; Hon, Y. C.; Yamamoto, M. 18 2001 Carleman estimate with the Neumann boundary condition and its applications to the observability inequality and inverse hyperbolic problems. Zbl 1004.35028 Isakov, Victor; Yamamoto, Masahiro 18 2000 Tikhonov regularization by a reproducing kernel Hilbert space for the Cauchy problem for an elliptic equation. Zbl 1185.65173 Takeuchi, Tomoya; Yamamoto, Masahiro 18 2008 Stability for inverse source problems by Carleman estimates. Zbl 1459.35393 Huang, X.; Yu Imanuvilov, Oleg; Yamamoto, M. 18 2020 Stability for some inverse problems for transport equations. Zbl 1342.35451 Gölgeleyen, Fikret; Yamamoto, Masahiro 17 2016 Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets. Zbl 1222.35213 Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro 17 2011 Inverse boundary value problem for Schrödinger equation in two dimensions. Zbl 1273.35316 Imanuvilov, O. Yu.; Yamamoto, M. 17 2012 Global uniqueness in inverse boundary value problems for the Navier-Stokes equations and Lamé system in two dimensions. Zbl 1331.35261 Imanuvilov, O. Yu.; Yamamoto, M. 17 2015 Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality. Zbl 1207.49045 Yuan, Ganghua; Yamamoto, Masahiro 17 2010 Uniqueness of inverse source problems for general evolution equations. Zbl 1517.35244 Kian, Yavar; Liu, Yikan; Yamamoto, Masahiro 7 2023 Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior. Zbl 1505.35370 Liu, Yikan; Yamamoto, Masahiro 3 2023 Uniqueness for inverse problem of determining fractional orders for time-fractional advection-diffusion equations. Zbl 1517.35268 Yamamoto, Masahiro 3 2023 Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions. Zbl 1512.35677 Rundell, William; Yamamoto, Masahiro 2 2023 Uniqueness for inverse source problems for fractional diffusion-wave equations by data during not acting time. Zbl 1505.35372 Yamamoto, M. 1 2023 Uniqueness for fractional nonsymmetric diffusion equations and an application to an inverse source problem. Zbl 07781300 Jiang, Daijun; Li, Zhiyuan; Pauron, Matthieu; Yamamoto, Masahiro 1 2023 Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions. Zbl 1512.35626 Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro 1 2023 Identification of time-varying source term in time-fractional diffusion equations. Zbl 1483.35342 Kian, Yavar; Soccorsi, Éric; Xue, Qi; Yamamoto, Masahiro 9 2022 On the maximum principle for the multi-term fractional transport equation. Zbl 1475.35092 Luchko, Yuri; Suzuki, Anna; Yamamoto, Masahiro 3 2022 Simultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equation. Zbl 1497.35517 Jing, Xiaohua; Yamamoto, Masahiro 2 2022 Some inverse problems for the Burgers equation and related systems. Zbl 1482.35270 Apraiz, J.; Doubova, A.; Fernández-Cara, E.; Yamamoto, M. 1 2022 Carleman estimate for the Navier-Stokes equations and applications. Zbl 1492.35183 Imanuvilov, Oleg Y.; Lorenzi, Luca; Yamamoto, Masahiro 1 2022 Uniqueness and numerical reconstruction for inverse problems dealing with interval size search. Zbl 1487.35435 Apraiz, Jone; Cheng, Jin; Doubova, Anna; Fernández-Cara, Enrique; Yamamoto, Masahiro 1 2022 Least squares formulation for ill-posed inverse problems and applications. Zbl 1505.35363 Chung, Eric; Ito, Kazufumi; Yamamoto, Masahiro 1 2022 Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations. Zbl 1474.35657 Kian, Yavar; Yamamoto, Masahiro 16 2021 The uniqueness of inverse problems for a fractional equation with a single measurement. Zbl 1472.35455 Kian, Yavar; Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro 16 2021 Uniqueness in determining fractional orders of derivatives and initial values. Zbl 1478.35227 Yamamoto, M. 9 2021 Inverse moving source problem for time-fractional evolution equations: determination of profiles. Zbl 1469.35257 Liu, Yikan; Hu, Guanghui; Yamamoto, Masahiro 7 2021 Stability estimate for a semilinear elliptic inverse problem. Zbl 1471.35325 Choulli, Mourad; Hu, Guanghui; Yamamoto, Masahiro 7 2021 Global stability result for parabolic Cauchy problems. Zbl 1481.35387 Choulli, Mourad; Yamamoto, Masahiro 3 2021 On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations. Zbl 1478.26005 Yamamoto, Masahiro 3 2021 An inverse source problem related to acoustic nonlinearity parameter imaging. Zbl 1489.35292 Yamamoto, Masahiro; Kaltenbacher, Barbara 2 2021 Carleman estimates and controllability for a degenerate structured population model. Zbl 1475.35371 Fragnelli, Genni; Yamamoto, Masahiro 2 2021 Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate. Zbl 1475.35397 Ren, Caixuan; Huang, Xinchi; Yamamoto, Masahiro 1 2021 Recovering the weight function in distributed order fractional equation from interior measurement. Zbl 1486.65154 Liu, J. J.; Sun, C. L.; Yamamoto, M. 1 2021 Time-fractional differential equations. A theoretical introduction. Zbl 1485.34002 Kubica, Adam; Ryszewska, Katarzyna; Yamamoto, Masahiro 47 2020 Stability for inverse source problems by Carleman estimates. Zbl 1459.35393 Huang, X.; Yu Imanuvilov, Oleg; Yamamoto, M. 18 2020 Backward problems in time for fractional diffusion-wave equation. Zbl 1456.35205 Floridia, Giuseppe; Yamamoto, Masahiro 13 2020 Well-posedness for the backward problems in time for general time-fractional diffusion equation. Zbl 1460.35374 Floridia, Giuseppe; Li, Zhiyuan; Yamamoto, Masahiro 10 2020 Initial-boundary value problems for multi-term time-fractional diffusion equations with \(x \)-dependent coefficients. Zbl 1431.35231 Li, Zhiyuan; Huang, Xinchi; Yamamoto, Masahiro 10 2020 Inverse moving source problem for fractional diffusion(-wave) equations: determination of orbits. Zbl 1443.35190 Hu, Guanghui; Liu, Yikan; Yamamoto, Masahiro 6 2020 A stability result for the determination of order in time-fractional diffusion equations. Zbl 1448.35554 Li, Zhiyuan; Huang, Xinchi; Yamamoto, Masahiro 5 2020 Uniqueness of solution of an inverse source problem for ultrahyperbolic equations. Zbl 1446.45010 Gölgeleyen, Fikret; Yamamoto, Masahiro 4 2020 Conditional stability for an inverse source problem and an application to the estimation of air dose rate of radioactive substances by drone data. Zbl 1502.35202 Chen, Yu; Cheng, Jin; Floridia, Giuseppe; Wada, Youichiro; Yamamoto, Masahiro 3 2020 Carleman estimate for linear viscoelasticity equations and an inverse source problem. Zbl 1430.35266 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 2 2020 Inverse problems for a compressible fluid system. Zbl 1437.35706 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 2 2020 Single logarithmic conditional stability in determining unknown boundaries. Zbl 1445.35329 Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro 1 2020 A parabolic shape optimization problem. Zbl 1474.49073 Tiba, Dan; Yamamoto, Masahiro 1 2020 Unique continuation property with partial information for two-dimensional anisotropic elasticity systems. Zbl 1482.74028 Cheng, Jin; Liu, Yi-Kan; Wang, Yan-Bo; Yamamoto, Masahiro 1 2020 A Carleman estimate for the linear magnetoelastic waves system and an inverse source problem in a bounded conductive medium. Zbl 1448.35501 Bellassoued, Mourad; Moufid, Chaima; Yamamoto, Masahiro 1 2020 Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations. Zbl 1427.35360 Kian, Yavar; Yamamoto, Masahiro 22 2019 Carleman estimates for the time-fractional advection-diffusion equations and applications. Zbl 1418.35050 Huang, Xinchi; Li, Zhiyuan; Yamamoto, Masahiro 16 2019 Inverse coefficient problems for a transport equation by local Carleman estimate. Zbl 1427.35033 Cannarsa, P.; Floridia, Giuseppe; Gölgeleyen, F.; Yamamoto, M. 13 2019 Recovering two coefficients in an elliptic equation via phaseless information. Zbl 1407.35229 Romanov, Vladimir G.; Yamamoto, Masahiro 9 2019 Observability inequalities for transport equations through Carleman estimates. Zbl 1428.35084 Cannarsa, Piermarco; Floridia, Giuseppe; Yamamoto, Masahiro 9 2019 Carleman estimate for the Schrödinger equation and application to magnetic inverse problems. Zbl 1516.35134 Huang, Xinchi; Kian, Yavar; Soccorsi, Éric; Yamamoto, Masahiro 6 2019 Unique continuation principle for the one-dimensional time-fractional diffusion equation. Zbl 1423.35404 Li, Zhiyuan; Yamamoto, Masahiro 6 2019 Logarithmic stability for a coefficient inverse problem of coupled Schrödinger equations. Zbl 1447.35378 Dou, Fangfang; Yamamoto, Masahiro 5 2019 Carleman estimate and an inverse source problem for the Kelvin-Voigt model for viscoelasticity. Zbl 1433.35423 Imanuvilov, OLEG Yu; Yamamoto, M. 5 2019 Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data. Zbl 1417.80002 Hömberg, Dietmar; Lu, Shuai; Yamamoto, Masahiro 3 2019 Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary. Zbl 1429.35211 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 1 2019 Global uniqueness in an inverse problem for time fractional diffusion equations. Zbl 1376.35099 Kian, Y.; Oksanen, L.; Soccorsi, E.; Yamamoto, M. 56 2018 Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients. Zbl 1398.35271 Kubica, Adam; Yamamoto, Masahiro 53 2018 On time-fractional diffusion equations with space-dependent variable order. Zbl 1406.35466 Kian, Yavar; Soccorsi, Eric; Yamamoto, Masahiro 37 2018 Weak solutions to non-homogeneous boundary value problems for time-fractional diffusion equations. Zbl 1470.35417 Yamamoto, Masahiro 20 2018 Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations. Zbl 1474.35689 Beilina, L.; Cristofol, M.; Li, S.; Yamamoto, M. 18 2018 Phaseless inverse problems with interference waves. Zbl 1401.35350 Romanov, Vladimir G.; Yamamoto, Masahiro 14 2018 Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction. Zbl 1516.35546 Yu, Jie; Liu, Yikan; Yamamoto, Masahiro 5 2018 Carleman estimates and applications to inverse problems for hyperbolic systems. Zbl 1412.35002 Bellassoued, Mourad; Yamamoto, Masahiro 97 2017 Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations. Zbl 1372.35364 Jiang, Daijun; Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro 73 2017 On existence and uniqueness of solutions for semilinear fractional wave equations. Zbl 1362.35323 Kian, Yavar; Yamamoto, Masahiro 60 2017 Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem. Zbl 1409.35221 Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro 43 2017 On the maximum principle for a time-fractional diffusion equation. Zbl 1374.35426 Luchko, Yuri; Yamamoto, Masahiro 35 2017 Inverse source problem for the hyperbolic equation with a time-dependent principal part. Zbl 1362.35334 Jiang, Daijun; Liu, Yikan; Yamamoto, Masahiro 25 2017 Reconstruction of space-dependent potential and/or damping coefficients in the wave equation. Zbl 1394.35580 Hussein, S. O.; Lesnic, D.; Yamamoto, M. 10 2017 Carleman estimate and application to an inverse source problem for a viscoelasticity model in anisotropic case. Zbl 1394.35582 Loreti, Paola; Sforza, Daniela; Yamamoto, Masahiro 7 2017 Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations. Zbl 1372.35333 Cheng, Xing; Li, Zhiyuan; Yamamoto, Masahiro 7 2017 Carleman estimates for integro-differential parabolic equations with singular memory kernels. Zbl 1387.93088 Loreti, Paola; Sforza, Daniela; Yamamoto, Masahiro 2 2017 Uniqueness in an integral geometry problem and an inverse problem for the kinetic equation. Zbl 1386.35471 Amirov, Arif; Gölgeleyen, Fikret; Yamamoto, Masahiro 1 2017 Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Zbl 1346.35216 Liu, Yikan; Rundell, William; Yamamoto, Masahiro 63 2016 General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems. Zbl 1499.35667 Luchko, Yuri; Yamamoto, Masahiro 56 2016 Uniqueness in inverse boundary value problems for fractional diffusion equations. Zbl 1332.35396 Li, Zhiyuan; Imanuvilov, Oleg Yu; Yamamoto, Masahiro 53 2016 Stability for some inverse problems for transport equations. Zbl 1342.35451 Gölgeleyen, Fikret; Yamamoto, Masahiro 17 2016 On the reconstruction of unknown time-dependent boundary sources for time fractional diffusion process by distributing measurement. Zbl 1332.35397 Liu, J. J.; Yamamoto, M.; Yan, L. L. 15 2016 Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem. Zbl 1339.35209 Bellassoued, Mourad; Imanuvilov, Oleg; Yamamoto, Masahiro 10 2016 Carleman estimate and unique continuation for a structured population model. Zbl 1334.35435 Uesaka, Masaaki; Yamamoto, Masahiro 4 2016 Source reconstruction by partial measurements for a class of hyperbolic systems in cascade. Zbl 1366.93044 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Yamamoto, Masahiro 2 2016 Calderón problem for Maxwell’s equations in two dimensions. Zbl 1338.35494 Imanuvilov, Oleg Y.; Yamamoto, Masahiro 1 2016 Time-fractional diffusion equation in the fractional Sobolev spaces. Zbl 1499.35642 Gorenflo, Rudolf; Luchko, Yuri; Yamamoto, Masahiro 118 2015 Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients. Zbl 1338.35471 Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro 115 2015 Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation. Zbl 1327.35408 Li, Zhiyuan; Yamamoto, Masahiro 67 2015 Global uniqueness in inverse boundary value problems for the Navier-Stokes equations and Lamé system in two dimensions. Zbl 1331.35261 Imanuvilov, O. Yu.; Yamamoto, M. 17 2015 On the uniqueness and reconstruction for an inverse problem of the fractional diffusion process. Zbl 1302.65215 Liu, J. J.; Yamamoto, M.; Yan, L. 16 2015 Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials. Zbl 1334.35420 Blåsten, Eemeli; Imanuvilov, Oleg; Yamamoto, Masahiro 13 2015 The Neumann-to-Dirichlet map in two dimensions. Zbl 1321.35024 Imanuvilov, O. Yu.; Uhlmann, Gunther; Yamamoto, M. 10 2015 Inverse source problem for a double hyperbolic equation describing the three-dimensional time cone model. Zbl 1433.74088 Liu, Yikan; Jiang, Daijun; Yamamoto, Masahiro 9 2015 Inverse problem on a tree-shaped network: unified approach for uniqueness. Zbl 1330.35486 Baudouin, Lucie; Yamamoto, Masahiro 6 2015 Addendum: Remark on boundary data for inverse boundary value problems for the Navier-Stokes equations. Zbl 1332.35262 Imanuvilov, O. Yu.; Yamamoto, M. 6 2015 Hölder stability estimate of Robin coefficient in corrosion detection with a single boundary measurement. Zbl 1329.35352 Hu, Guanghui; Yamamoto, Masahiro 5 2015 Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type. Zbl 1305.74048 Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro 4 2015 Calderón problem for Maxwell’s equations in the waveguide. Zbl 1346.35231 Imanuvilov, O. Yu.; Yamamoto, M. 2 2015 Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations. Zbl 1312.35184 Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro 56 2014 Approximate controllability for fractional diffusion equations by interior control. Zbl 1295.93009 Fujishiro, Kenichi; Yamamoto, Masahiro 19 2014 Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type. Zbl 1286.35260 Beauchard, K.; Cannarsa, P.; Yamamoto, M. 15 2014 Global Lipschitz stability in determining coefficients of the radiative transport equation. Zbl 1288.35475 Machida, Manabu; Yamamoto, Masahiro 15 2014 On the multiple hyperbolic systems modelling phase transformation kinetics. Zbl 1391.74012 Liu, Yikan; Yamamoto, Masahiro 7 2014 Conditional stability in a backward parabolic system. Zbl 1298.35245 Imanuvilov, Oleg Yu.; Yamamoto, Masahiro 5 2014 Two-dimensional parabolic inverse source problem with final overdetermination in reproducing kernel space. Zbl 1297.35291 Wang, Wenyan; Yamamoto, Masahiro; Han, Bo 4 2014 Stability of inverse problems for ultrahyperbolic equations. Zbl 1335.35295 Gölgeleyen, Fikret; Yamamoto, Masahiro 4 2014 Parameter identification in non-isothermal nucleation and growth processes. Zbl 1368.65170 Hömberg, Dietmar; Lu, Shuai; Sakamoto, Kenichi; Yamamoto, Masahiro 2 2014 ...and 227 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,829 Authors 173 Yamamoto, Masahiro 66 Wei, Ting 49 Kian, Yavar 45 Bellassoued, Mourad 43 Nguyen Huy Tuan 40 Hu, Guanghui 39 Wang, Hong 38 Zheng, Xiangcheng 37 Liu, Hongyu 35 Imanuvilov, Oleg Yu. 34 Klibanov, Michael V. 34 Yang, Fan 30 Cheng, Jin 28 Balachandran, Krishnan 28 Zhou, Zhi 27 Choulli, Mourad 27 Lesnic, Daniel 27 Li, Xiaoxiao 26 Fu, Chuli 26 Hofmann, Bernd 26 Xiong, Xiangtuan 25 Li, Zhiyuan 25 Liu, Jijun 25 Zhou, Yong 24 Jin, Bangti 24 Romanov, Vladimir Gavrilovich 21 Băleanu, Dumitru I. 21 Hon, Yiu-Chung 21 Liu, Yikan 21 Trong, Dang Duc 21 Uhlmann, Gunther Alberto 20 Fernández-Cara, Enrique 20 Li, Gongsheng 20 Wang, Zewen 19 Kaltenbacher, Barbara 19 Nakamura, Gen 19 Salo, Mikko 18 Stynes, Martin Joseph 17 Cristofol, Michel 17 Deng, Zuicha 17 Lassas, Matti J. 17 Nguyen, Loc Hoang 17 Yang, Liu 16 Li, Peijun 16 Rundell, William 16 Soccorsi, Eric 16 Wu, Bin 15 Li, Jingzhi 15 Maniar, Lahcen 15 Oksanen, Lauri 15 Triki, Faouzi 15 van Bockstal, Karel 14 Li, Shumin 14 Liu, Fawang 14 Lu, Shuai 14 Luchko, Yuri 14 Yan, Liang 13 Dou, Fangfang 13 Jiang, Daijun 13 Ling, Leevan 13 O’Regan, Donal 13 Tzou, Leo 13 Zhang, Zhidong 12 Hasanoǧlu, Alemdar 12 Huang, Xinchi 12 Krasnoshchok, Mykola Valeriĭovych 12 Liao, HongLin 12 Lin, Yi-Hsuan 12 Long, Le Dinh 12 Malik, Salman A. 12 Ruan, Zhousheng 12 Sakthivel, Kumarasamy 12 Sun, Liangliang 12 Turner, Ian William 12 Yang, Fenglian 11 de Teresa, Luz 11 Elschner, Johannes 11 Feng, Xiaoli 11 Guerrero, Sergio 11 Harrach, Bastian 11 Huang, Chaobao 11 Jia, Xianzheng 11 Johansson, B. 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