## Nakamura, Gen

Compute Distance To:
 Author ID: nakamura.gen Published as: Nakamura, Gen; Nakamura, G. Homepage: http://people.math.inha.ac.kr/~nakamura External Links: ResearchGate · dblp
 Documents Indexed: 233 Publications since 1976, including 1 Book 1 Contribution as Editor Co-Authors: 110 Co-Authors with 225 Joint Publications 3,033 Co-Co-Authors
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### Co-Authors

 7 single-authored 69 Fan, Jishan 26 Li, Fucai 16 Zhou, Yong 15 Wang, Haibing 14 Ikehata, Masaru 14 Lin, Ching-Lung 14 Tanuma, Kazumi 14 Uhlmann, Gunther Alberto 13 Wang, Jenn-Nan 12 Sini, Mourad 10 Cheng, Jin 9 Jiang, Yu 9 Liu, Jijun 8 Tang, Tong 6 Jing, Lulu 6 Kang, Hyeonbae 5 Daido, Yuki 5 Honda, Naofumi 5 Jiang, Song 5 Kim, Kyoungsun 5 Potthast, Roland W. E. 5 Shirota, Kenji 5 Wang, Shengzhang 4 Amano, Kazuo 4 Makrakis, George N. 4 Saitoh, Saburou 4 Sasayama, Satoshi 3 Cârstea, Cătălin Ion 3 de Hoop, Maarten V. 3 Hayat, Tasawar 3 Isakov, Victor M. 3 Man, Chi-Sing 3 Morassi, Antonino 3 Nagayasu, Sei 3 Shibata, Yoshihiro 3 Sun, Jianzhu 3 Syarif, Admi 3 Watanabe, Michiyuki 2 Akamatsu, Masayuki 2 Al-saedi, Ahmed Eid Salem 2 Di Cristo, Michele 2 Eom, Junyong 2 Fujiwara, Hiroshi 2 Gao, Hongjun 2 Heck, Horst 2 Kawai, Takahiro 2 Lin, Yi-Hsuan 2 Machida, Manabu 2 Maeda, Yoshiaki 2 Siltanen, Samuli 2 Sun, Ziqi 2 Vashisth, Manmohan 2 Wang, Yanbo 2 Yamamoto, Masahiro 2 Zhai, Jian 1 Alzahrani, Faris Saeed 1 Ammari, Habib M. 1 Cakoni, Fioralba 1 Choi, Cheok 1 Eller, Matthias M. 1 Fukumoto, Yasuhide 1 Gawinecki, Jerzy August 1 Hamada, Yûsaku 1 Hu, Yuxi 1 Huang, Mojia 1 Huang, Shuxiang 1 Ivanov, Sergei A. 1 Ji, Yong-Gwan 1 Jia, Xuanji 1 Jimbo, Shuichi 1 Jin, Liangbing 1 Kabanikhin, Sergeĭ Igorevich 1 Kaltenbacher, Barbara 1 Kawashita, Mishio 1 Kobayashi, Takao 1 Kuan, Rulin 1 Li, Tingyue 1 Lim, Mikyoung 1 Lin, Liren 1 Malaikah, Honaida 1 McLaughlin, Joyce Rogers 1 Monaquel, Satha 1 Nagayama, Masaharu 1 Nakagawa, Junichi 1 Nishimura, Goro 1 Okamoto, Mamoru 1 Oksanen, Lauri 1 Oliva, Marcos 1 Onishi, Kazuei 1 Ota, Yasushi 1 Rafa, Józef 1 Ronkanen, Päivi 1 Sasai, Takao 1 Seo, Jin Keun 1 Sikorska, Beata 1 Sleeman, Brian David 1 Somersalo, Erkki 1 Steinberg, Stanly L. 1 Sun, Chunlong 1 Tan, Zhong ...and 12 more Co-Authors
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### Serials

 27 Inverse Problems 9 Journal of Inverse and Ill-Posed Problems 8 Applicable Analysis 8 SIAM Journal on Applied Mathematics 7 Proceedings of the Japan Academy. Series A 6 Mathematical Methods in the Applied Sciences 6 Applied Mathematics Letters 6 SIAM Journal on Mathematical Analysis 5 Journal of Differential Equations 5 Communications in Partial Differential Equations 5 Inverse Problems and Imaging 4 IMA Journal of Applied Mathematics 4 Journal of Mathematical Physics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Transactions of the American Mathematical Society 3 Mathematische Annalen 3 Journal of Elasticity 2 Journal of Mathematical Analysis and Applications 2 American Journal of Mathematics 2 Annales Polonici Mathematici 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Bulletin of the Korean Mathematical Society 2 Journal of Computational Mathematics 2 European Journal of Applied Mathematics 2 Differential and Integral Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Mathematical Fluid Mechanics 2 Communications of the Korean Mathematical Society 2 Communications on Pure and Applied Analysis 2 Communications in Mathematical Sciences 2 Analysis and Applications (Singapore) 2 Boundary Value Problems 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Computing 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematics of Kyoto University 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Complex Variables. Theory and Application 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Japan Journal of Applied Mathematics 1 Sūgaku 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 International Journal of Computer Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 Methods and Applications of Analysis 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 HERMIS-$$\mu\pi$$. Hellenic European Research on Mathematics and Informatics Science 1 Analysis in Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Cubo 1 Dynamics of Partial Differential Equations 1 Inverse Problems in Science and Engineering 1 Proceedings of the Japan Academy 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Frontiers of Mathematics in China 1 Computational & Mathematical Methods in Medicine 1 Kinetic and Related Models 1 Science China. Mathematics 1 Discontinuity, Nonlinearity, and Complexity 1 Journal of Shanghai Normal University. Natural Sciences 1 Results in Applied Mathematics
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### Fields

 214 Partial differential equations (35-XX) 64 Fluid mechanics (76-XX) 48 Mechanics of deformable solids (74-XX) 26 Numerical analysis (65-XX) 16 Optics, electromagnetic theory (78-XX) 9 Biology and other natural sciences (92-XX) 6 Geophysics (86-XX) 5 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Differential geometry (53-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

180 Publications have been cited 1,614 times in 1,057 Documents Cited by Year
Vanishing shear viscosity limit in the magnetohydrodynamic equations. Zbl 1190.76172
Fan, Jishan; Jiang, Song; Nakamura, Gen
2007
Global Cauchy problem of 2D generalized MHD equations. Zbl 1297.35182
Fan, Jishan; Malaikah, Honaida; Monaquel, Satha; Nakamura, Gen; Zhou, Yong
2014
Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations. Zbl 1270.35339
Fan, Jishan; Jiang, Song; Nakamura, Gen; Zhou, Yong
2011
Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field. Zbl 0843.35134
Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther
1995
On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects. Zbl 1321.35087
Fan, Jishan; Jia, Xuanji; Nakamura, Gen; Zhou, Yong
2015
On strong solutions to the compressible Hall-magnetohydrodynamic system. Zbl 1304.35539
Fan, Jishan; Alsaedi, Ahmed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong
2015
Global uniqueness for an inverse boundary problem arising in elasticity. Zbl 0814.35147
Nakamura, Gen; Uhlmann, Gunther
1994
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159
Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D.
2002
Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion. Zbl 1089.74576
Ammari, Habib; Kang, Hyeonbae; Nakamura, Gen; Tanuma, Kazumi
2002
Well-posedness for the axisymmetric incompressible viscous Hall-magnetohydrodynamic equations. Zbl 1315.35164
Fan, Jishan; Huang, Shuxiang; Nakamura, Gen
2013
Regularity criteria for the incompressible Hall-MHD system. Zbl 1333.35191
Fan, Jishan; Fukumoto, Yasuhide; Nakamura, Gen; Zhou, Yong
2015
Regularity criteria for the incompressible Hall-magnetohydrodynamic equations. Zbl 1297.35067
Fan, Jishan; Li, Fucai; Nakamura, Gen
2014
Identification of Lamé parameters by boundary measurements. Zbl 0803.35164
Nakamura, Gen; Uhlmann, Gunther
1993
Reconstruction of the shape and surface impedance from acoustic scattering data for an arbitrary cylinder. Zbl 1127.35080
Liu, J. J.; Nakamura, G.; Sini, M.
2007
Inverse problems at the boundary for an elastic medium. Zbl 0840.35122
Nakamura, Gen; Uhlmann, Gunther
1995
Regularity criteria for the three-dimensional magnetohydrodynamic equations. Zbl 1291.35175
Fan, Jishan; Li, Fucai; Nakamura, Gen; Tan, Zhong
2014
Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map. Zbl 1043.35146
Kang, Hyeonbae; Nakamura, Gen
2002
Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity. Zbl 1355.35155
Zhou, Yong; Fan, Jishan; Nakamura, Gen
2013
A formula for the fundamental solution of anisotropic elasticity. Zbl 0885.73005
Nakamura, G.; Tanuma, K.
1997
Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations. Zbl 1236.35120
Fan, Jishan; Gao, Hongjun; Nakamura, Gen
2011
Reconstruction for the coefficients of a quasilinear elliptic partial differential equation. Zbl 1423.35437
Cârstea, Cătălin I.; Nakamura, Gen; Vashisth, Manmohan
2019
Layer stripping for a transversely isotropic elastic medium. Zbl 0935.35176
Nakamura, Gen; Tanuma, Kazumi; Uhlmann, Gunther
1999
Stability of weak solutions to equations of magnetohydrodynamics with Lebesgue initial data. Zbl 1230.35020
Fan, Jishan; Jiang, Song; Nakamura, Gen
2011
On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order. Zbl 0652.35077
Shibata, Yoshihiro; Nakamura, Gen
1989
Obstacle and boundary determination from scattering data. Zbl 1185.35331
2007
Local determination of conductivity at the boundary from the Dirichlet-to-Neumann map. Zbl 0981.35100
Nakamura, G.; Tanuma, K.
2001
Well-posedness of initial-boundary value problems for piezoelectric equations. Zbl 1080.74025
Akamatsu, Masayuki; Nakamura, Gen
2002
Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Zbl 1346.65029
Nakamura, Gen; Potthast, Roland
2015
Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems. Zbl 1067.35151
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
2005
Identification of a non-convex obstacle for acoustical scattering. Zbl 1126.35103
Nakamura, G.; Yoshida, K.
2007
The direct electromagnetic scattering problem from an imperfectly conducting cylinder at oblique incidence. Zbl 1268.78010
Nakamura, Gen; Wang, Haibing
2013
Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients. Zbl 1202.35325
Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan
2010
Numerical differentiation for the second order derivatives of functions of two variables. Zbl 1133.65011
Nakamura, Gen; Wang, Shengzhang; Wang, Yanbo
2008
Quantitative strong unique continuation for the Lamé system with less regular coefficients. Zbl 1291.35390
Lin, C.-L.; Nakamura, G.; Uhlmann, G.; Wang, J.-N.
2011
Inverse viscosity problem for the Navier-Stokes equation. Zbl 1186.35240
Fan, Jishan; di Cristo, Michele; Jiang, Yu; Nakamura, Gen
2010
A regularity criterion for the 3D generalized MHD equations. Zbl 1308.35205
Fan, Jishan; Alsaedi, Ahmed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong
2014
Global strong solution to the 2D density-dependent liquid crystal flows with vacuum. Zbl 1292.35201
Fan, Jishan; Li, Fucai; Nakamura, Gen
2014
Local smooth isometric embeddings of low dimensional Riemannian manifolds into Euclidean spaces. Zbl 0682.58046
Nakamura, Gen; Maeda, Yoshiaki
1989
Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems. Zbl 1100.35024
Nakamura, Gen; Wang, Jenn-Nan
2006
Linear sampling method for the heat equation with inclusions. Zbl 1290.35332
Nakamura, Gen; Wang, Haibing
2013
Approximate steady state models for magnetic resonance elastography. Zbl 1234.35311
Jiang, Yu; Fujiwara, Hiroshi; Nakamura, Gen
2011
Identification of the shape of the inclusion in the anisotropic elastic body. Zbl 1107.74311
Ikehata, Masaru; Nakamura, Gen; Tanuma, Kazumi
1999
A probe method for the inverse boundary value problem of non-stationary heat equations. Zbl 1126.35092
Daido, Yuki; Kang, Hyeonbae; Nakamura, Gen
2007
Parametrix of certain weakly hyperbolic operators. Zbl 0445.35083
Nakamura, Gen; Uryu, Hitoshi
1980
Global regularity for the 2D liquid crystal model with mixed partial viscosity. Zbl 1314.35081
Fan, Jishan; Alzahrani, Faris Saeed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong
2015
Uniform well-posedness and singular limits of the isentropic Navier-Stokes-Maxwell system in a bounded domain. Zbl 1327.76167
Fan, Jishan; Li, Fucai; Nakamura, Gen
2015
The integral equation method for electromagnetic scattering problem at oblique incidence. Zbl 1241.78016
Wang, Haibing; Nakamura, Gen
2012
Inversion analysis for magnetic resonance elastography. Zbl 1132.35356
Nakamura, Gen; Jiang, Yu; Nagayasu, Sei; Cheng, Jin
2008
Unique continuation property for the anomalous diffusion and its application. Zbl 1307.35312
Cheng, Jin; Lin, Ching-Lung; Nakamura, Gen
2013
Local well-posedness for a compressible non-isothermal model for nematic liquid crystals. Zbl 1391.76043
Fan, Jishan; Li, Fucai; Nakamura, Gen
2018
An inverse dynamical problem for connected beams. Zbl 1077.74022
Morassi, A.; Nakamura, G.; Sini, M.
2005
Identification of Lamé coefficients from boundary observations. Zbl 0737.35139
Akamatsu, Masayuki; Nakamura, Gen; Steinberg, Stanley
1991
A nonuniqueness theorem for an inverse boundary value problem in elasticity. Zbl 0849.35149
Nakamura, Gen; Tanuma, Kazumi
1996
Uniqueness in inverse problems for the isotropic Lamé system. Zbl 0924.73069
Ikehata, Masaru; Nakamura, Gen; Yamamoto, Masahiro
1998
Inverse scattering for obliquely incident polarized electromagnetic waves. Zbl 1260.35226
Nakamura, Gen; Wang, Haibing
2012
Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition. Zbl 1282.35276
Jin, Liangbing; Fan, Jishan; Nakamura, Gen; Zhou, Yong
2012
Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators. Zbl 1263.35082
Honda, N.; Nakamura, G.; Sini, M.
2013
Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor. Zbl 1330.35541
Nakamura, Gen; Wang, Haibing
2015
Linear sampling method for identifying cavities in a heat conductor. Zbl 1247.35202
Heck, Horst; Nakamura, Gen; Wang, Haibing
2012
Uniqueness of identifying the convection term. Zbl 1101.35398
Cheng, Jin; Nakamura, Gen; Somersalo, Erkki
2001
Unique continuation for an elasticity system with residual stress and its applications. Zbl 1126.35306
Nakamura, Gen; Wang, Jenn-Nan
2003
Unique continuation property for anomalous slow diffusion equation. Zbl 1350.35048
Lin, Ching-Lung; Nakamura, Gen
2016
Branching of singularities for degenerate hyperbolic operators. Zbl 0555.35077
Amano, Kazuo; Nakamura, Gen
1984
Stability for the inverse potential problem by finite measurements on the boundary. Zbl 0980.35173
Cheng, J.; Nakamura, G.
2001
Slicing of a three-dimensional object from boundary measurements. Zbl 0943.35104
Ikehata, Masaru; Nakamura, Gen
1999
Uniqueness for an inverse boundary value problem for Dirac operators. Zbl 0952.35152
Nakamura, Gen; Tsuchida, Tetsuo
2000
Reconstruction of an impedance cylinder at oblique incidence from the far-field data. Zbl 1418.35383
Nakamura, Gen; Wang, Haibing
2015
A blow-up criterion to the 2D full compressible magnetohydrodynamic equations. Zbl 1317.35009
Fan, Jishan; Li, Fucai; Nakamura, Gen
2015
Reconstruction of an unknown inclusion by thermography. Zbl 1215.35169
Isakov, Victor; Kim, Kyoungsun; Nakamura, Gen
2010
Conditional stability for a single interior measurement. Zbl 1365.35225
Honda, Naofumi; McLaughlin, Joyce; Nakamura, Gen
2014
The numerical realization of the probe method for the inverse scattering problems from the near-field data. Zbl 1071.35121
Cheng, J.; Liu, J. J.; Nakamura, G.
2005
Well-posedness of an inverse problem of Navier-Stokes equations with the final overdetermination. Zbl 1181.35329
Fan, J.; Nakamura, G.
2009
Non-relativistic and low Mach number limits of two $$P1$$ approximation model arising in radiation hydrodynamics. Zbl 1353.35031
Fan, Jishan; Li, Fucai; Nakamura, Gen
2016
Local isometric embedding problem of Riemannian 3-manifold into $$R^ 6$$. Zbl 0622.53015
Nakamura, Gen; Maeda, Yoshiaki
1986
Regularity criteria for the incompressible magnetohydrodynamic equations with partial viscosity. Zbl 1381.35137
Fan, Jishan; Li, Fucai; Nakamura, Gen
2016
Inverse problems for the Boussinesq system. Zbl 1173.35728
Fan, Jishan; Jiang, Yu; Nakamura, Gen
2009
Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. Zbl 1110.35107
Nakamura, Gen; Potthast, Roland; Sini, Mourad
2006
On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026
Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing
2012
Quantitative uniqueness for second order elliptic operators with strongly singular coefficients. Zbl 1219.35058
Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan
2011
A layer stripping algorithm in elastic impedance tomography. Zbl 0883.35132
Nakamura, Gen; Uhlmann, Gunther
1997
Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method. Zbl 1372.35368
Nakamura, Gen; Wang, Haibing
2017
Branching of singularities for degenerate hyperbolic operators and Stokes phenomena. II. Zbl 0495.35052
Amano, Kazuo; Nakamura, Gen
1981
Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. Zbl 1356.76428
Fan, Jishan; Li, Fucai; Nakamura, Gen
2016
Inverse boundary value problem for ocean acoustics using point sources. Zbl 1044.86008
Ikehata, M.; Makrakis, G. N.; Nakamura, G.
2004
On the identification of a coefficient function in a nonlinear wave equation. Zbl 1172.35311
Nakamura, Gen; Watanabe, Michiyuki; Kaltenbacher, Barbara
2009
Global strong solution to the density-dependent 2-D liquid crystal flows. Zbl 1328.76008
Zhou, Yong; Fan, Jishan; Nakamura, Gen
2013
Decaying and nondecaying properties of the local energy of an elastic wave outside an obstacle. Zbl 0696.73017
Ikehata, Masaru; Nakamura, Gen
1989
The singularities of solutions of the Cauchy problems for systems whose characteristic roots are non-uniform multiple. Zbl 0372.35052
Nakamura, Gen
1977
Blow-up criteria of smooth solutions to the 3D Boussinesq system with zero viscosity in a bounded domain. Zbl 1243.35137
Fan, Jishan; Nakamura, Gen; Wang, Haibing
2012
On logarithmically improved regularity criteria for the Navier-Stokes equations in $$\mathbb R^{n}$$. Zbl 1219.35169
Fan, Jishan; Jiang, Song; Nakamura, Gen
2011
Recovery of multiple obstacles by probe method. Zbl 1170.35556
Cheng, Jin; Liu, Jijun; Nakamura, Gen; Wang, Shengzhang
2009
Boundary determination of the Lamé moduli for the isotropic elasticity system. Zbl 1394.74045
Lin, Yi-Hsuan; Nakamura, Gen
2017
Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain. Zbl 1353.35224
Fan, Jishan; Li, Fucai; Nakamura, Gen
2016
Inverse boundary value problem for the heat equation with discontinuous coefficients. Zbl 1274.35418
Nakamura, Gen; Sasayama, Satoshi
2013
An inverse boundary value problem for a nonlinear wave equation. Zbl 1157.35123
Nakamura, Gen; Watanabe, Michiyuki
2008
On the singularities of the solution of the Cauchy problem for the operator with non uniform multiple characteristics. Zbl 0373.35010
1977
Regularity criteria for a mathematical model for the deformation of electrolyte droplets. Zbl 1426.76701
Fan, Jishan; Li, Fucai; Nakamura, Gen
2013
Dispersion of Rayleigh waves in vertically-inhomogeneous prestressed elastic media. Zbl 1309.35164
Man, Chi-Sing; Nakamura, Gen; Tanuma, Kazumi; Wang, Shengzhang
2015
Blow-up criteria for 3D nematic liquid crystal models in a bounded domain. Zbl 1294.35061
Fan, Jishan; Nakamura, Gen; Zhou, Yong
2013
Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity. Zbl 1338.35358
Fan, Jishan; Li, Fucai; Nakamura, Gen
2014
Inverse initial boundary value problem for a non-linear hyperbolic partial differential equation. Zbl 1457.58016
Nakamura, Gen; Vashisth, Manmohan; Watanabe, Michiyuki
2021
Uniform regularity for a two-phase model with magneto field and a related system. Zbl 1459.76155
Fan, Jishan; Nakamura, Gen; Tang, Tong
2020
Qualitative analysis of an integrated chemotaxis-fluid model: global existence and extensibility criterion. Zbl 1461.35052
Fan, Jishan; Jing, Lulu; Nakamura, Gen; Zhao, Kun
2020
Global solutions of the 3D compressible MHD system in a bounded domain. Zbl 1434.35093
Fan, Jishan; Jing, Lulu; Nakamura, Gen; Tang, Tong
2020
Global small solutions of the compressible nematic liquid crystal flow in a bounded domain. Zbl 1458.35330
Fan, Jishan; Sun, Jianzhu; Tang, Tong; Nakamura, Gen
2020
Regularity criteria for a density-dependent incompressible Ginzburg-Landau-Navier-Stokes system in a bounded domain. Zbl 1446.82090
Fan, Jishan; Jing, Lulu; Nakamura, Gen; Tang, Tong
2020
A weak solution for a point mass camphor motion. Zbl 1474.35423
Fan, Jishan; Nagayama, Masaharu; Nakamura, Gen; Okamoto, Mamoru
2020
Local solvability of an inverse problem to the Navier-Stokes equation with memory term. Zbl 1469.76077
Jiang, Yu; Fan, Jishan; Nagayasu, Sei; Nakamura, Gen
2020
Reconstruction for the coefficients of a quasilinear elliptic partial differential equation. Zbl 1423.35437
Cârstea, Cătălin I.; Nakamura, Gen; Vashisth, Manmohan
2019
Unique continuation property for multi-terms time fractional diffusion equations. Zbl 1420.35054
Lin, Ching-Lung; Nakamura, Gen
2019
Unique recovery of piecewise analytic density and stiffness tensor from the elastic-wave Dirichlet-to-Neumann map. Zbl 1437.35701
de Hoop, Maarten V.; Nakamura, Gen; Zhai, Jian
2019
Convergence of Levenberg-Marquardt method for the inverse problem with an interior measurement. Zbl 1416.65418
Jiang, Yu; Nakamura, Gen
2019
Solvability of interior transmission problem for the diffusion equation by constructing its Green function. Zbl 1425.35236
Nakamura, Gen; Wang, Haibing
2019
Strong unique continuation for two-dimensional anisotropic elliptic systems. Zbl 1483.35062
Kuan, Rulin; Nakamura, Gen; Sasayama, Satoshi
2019
Completeness of representation of solutions for stationary homogeneous isotropic elastic/viscoelastic systems. Zbl 1415.74029
Eom, Junyong; Nakamura, Gen
2019
Local well-posedness for a compressible non-isothermal model for nematic liquid crystals. Zbl 1391.76043
Fan, Jishan; Li, Fucai; Nakamura, Gen
2018
Uniqueness in the inverse boundary value problem for piecewise homogeneous anisotropic elasticity. Zbl 1393.35036
Cârstea, Cătălin I.; Honda, Naofumi; Nakamura, Gen
2018
A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity. Zbl 1395.76104
Fan, Jishan; Li, Fucai; Nakamura, Gen
2018
Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. II: Global existence case. Zbl 1444.76132
Fan, Jishan; Li, Fucai; Nakamura, Gen
2018
Uniform global solutions of the 3D compressible MHD system in a bounded domain. Zbl 1442.76140
Fan, Jishan; Sun, Jianzhu; Tang, Tong; Nakamura, Gen
2018
Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method. Zbl 1372.35368
Nakamura, Gen; Wang, Haibing
2017
Boundary determination of the Lamé moduli for the isotropic elasticity system. Zbl 1394.74045
Lin, Yi-Hsuan; Nakamura, Gen
2017
Low Mach number limit of the full compressible Hall-MHD system. Zbl 1364.76237
Fan, Jishan; Li, Fucai; Nakamura, Gen
2017
Local well-posedness and blow-up criterion for a compressible Navier-Stokes-Fourier-$$P1$$ approximate model arising in radiation hydrodynamics. Zbl 1387.35451
Fan, Jishan; Li, Fucai; Nakamura, Gen
2017
Reconstruction of Lamé moduli and density at the boundary enabling directional elastic wavefield decomposition. Zbl 1371.35358
de Hoop, Maarten V.; Nakamura, Gen; Zhai, Jian
2017
A regularity criterion for the $$3D$$ full compressible Navier-Stokes-Maxwell system in a bounded domain. Zbl 1373.76341
Fan, Jishan; Li, Fucai; Nakamura, Gen
2017
Recovering the boundary corrosion from electrical potential distribution using partial boundary data. Zbl 1372.35080
Liu, Jijun; Nakamura, Gen
2017
Unique continuation property for anomalous slow diffusion equation. Zbl 1350.35048
Lin, Ching-Lung; Nakamura, Gen
2016
Non-relativistic and low Mach number limits of two $$P1$$ approximation model arising in radiation hydrodynamics. Zbl 1353.35031
Fan, Jishan; Li, Fucai; Nakamura, Gen
2016
Regularity criteria for the incompressible magnetohydrodynamic equations with partial viscosity. Zbl 1381.35137
Fan, Jishan; Li, Fucai; Nakamura, Gen
2016
Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. Zbl 1356.76428
Fan, Jishan; Li, Fucai; Nakamura, Gen
2016
Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain. Zbl 1353.35224
Fan, Jishan; Li, Fucai; Nakamura, Gen
2016
Reconstruction of the shear modulus of viscoelastic systems in a thin cylinder: an inversion scheme and experiments. Zbl 1469.74053
Eom, Junyong; Kang, Hyeonbae; Nakamura, Gen; Wang, Yun-Che
2016
On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects. Zbl 1321.35087
Fan, Jishan; Jia, Xuanji; Nakamura, Gen; Zhou, Yong
2015
On strong solutions to the compressible Hall-magnetohydrodynamic system. Zbl 1304.35539
Fan, Jishan; Alsaedi, Ahmed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong
2015
Regularity criteria for the incompressible Hall-MHD system. Zbl 1333.35191
Fan, Jishan; Fukumoto, Yasuhide; Nakamura, Gen; Zhou, Yong
2015
Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Zbl 1346.65029
Nakamura, Gen; Potthast, Roland
2015
Global regularity for the 2D liquid crystal model with mixed partial viscosity. Zbl 1314.35081
Fan, Jishan; Alzahrani, Faris Saeed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong
2015
Uniform well-posedness and singular limits of the isentropic Navier-Stokes-Maxwell system in a bounded domain. Zbl 1327.76167
Fan, Jishan; Li, Fucai; Nakamura, Gen
2015
Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor. Zbl 1330.35541
Nakamura, Gen; Wang, Haibing
2015
Reconstruction of an impedance cylinder at oblique incidence from the far-field data. Zbl 1418.35383
Nakamura, Gen; Wang, Haibing
2015
A blow-up criterion to the 2D full compressible magnetohydrodynamic equations. Zbl 1317.35009
Fan, Jishan; Li, Fucai; Nakamura, Gen
2015
Dispersion of Rayleigh waves in vertically-inhomogeneous prestressed elastic media. Zbl 1309.35164
Man, Chi-Sing; Nakamura, Gen; Tanuma, Kazumi; Wang, Shengzhang
2015
Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain. Zbl 1333.76091
Nakamura, Gen; Li, Fucai; Fan, Jishan
2015
Regularity criteria for the $$p$$-harmonic and Ostwald-de Waele flows. Zbl 1327.35226
Fan, Jishan; Nakamura, Gen; Zhou, Yong
2015
Global Cauchy problem of 2D generalized MHD equations. Zbl 1297.35182
Fan, Jishan; Malaikah, Honaida; Monaquel, Satha; Nakamura, Gen; Zhou, Yong
2014
Regularity criteria for the incompressible Hall-magnetohydrodynamic equations. Zbl 1297.35067
Fan, Jishan; Li, Fucai; Nakamura, Gen
2014
Regularity criteria for the three-dimensional magnetohydrodynamic equations. Zbl 1291.35175
Fan, Jishan; Li, Fucai; Nakamura, Gen; Tan, Zhong
2014
A regularity criterion for the 3D generalized MHD equations. Zbl 1308.35205
Fan, Jishan; Alsaedi, Ahmed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong
2014
Global strong solution to the 2D density-dependent liquid crystal flows with vacuum. Zbl 1292.35201
Fan, Jishan; Li, Fucai; Nakamura, Gen
2014
Conditional stability for a single interior measurement. Zbl 1365.35225
Honda, Naofumi; McLaughlin, Joyce; Nakamura, Gen
2014
Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity. Zbl 1338.35358
Fan, Jishan; Li, Fucai; Nakamura, Gen
2014
Global strong solution to the two-dimensional density-dependent magnetohydrodynamic equations with vaccum. Zbl 1292.76075
Fan, Jishan; Li, Fucai; Nakamura, Gen
2014
A blowup criterion for the 3D generalized MHD system with zero magnetic diffusivity. Zbl 1324.35146
Fan, Jishan; Nakamura, Gen; Zhou, Yong
2014
Global solutions to the Navier-Stokes-$${\bar \omega}$$ and related models with rough initial data. Zbl 1293.35203
Fan, Jishan; Li, Fucai; Nakamura, Gen
2014
Well-posedness for the axisymmetric incompressible viscous Hall-magnetohydrodynamic equations. Zbl 1315.35164
Fan, Jishan; Huang, Shuxiang; Nakamura, Gen
2013
Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity. Zbl 1355.35155
Zhou, Yong; Fan, Jishan; Nakamura, Gen
2013
The direct electromagnetic scattering problem from an imperfectly conducting cylinder at oblique incidence. Zbl 1268.78010
Nakamura, Gen; Wang, Haibing
2013
Linear sampling method for the heat equation with inclusions. Zbl 1290.35332
Nakamura, Gen; Wang, Haibing
2013
Unique continuation property for the anomalous diffusion and its application. Zbl 1307.35312
Cheng, Jin; Lin, Ching-Lung; Nakamura, Gen
2013
Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators. Zbl 1263.35082
Honda, N.; Nakamura, G.; Sini, M.
2013
Global strong solution to the density-dependent 2-D liquid crystal flows. Zbl 1328.76008
Zhou, Yong; Fan, Jishan; Nakamura, Gen
2013
Inverse boundary value problem for the heat equation with discontinuous coefficients. Zbl 1274.35418
Nakamura, Gen; Sasayama, Satoshi
2013
Regularity criteria for a mathematical model for the deformation of electrolyte droplets. Zbl 1426.76701
Fan, Jishan; Li, Fucai; Nakamura, Gen
2013
Blow-up criteria for 3D nematic liquid crystal models in a bounded domain. Zbl 1294.35061
Fan, Jishan; Nakamura, Gen; Zhou, Yong
2013
A gradient estimate for solutions to parabolic equations with discontinuous coefficients. Zbl 1288.35129
Fan, Jishan; Kim, Kyoungsun; Nagayasu, Sei; Nakamura, Gen
2013
Model independent MRE data analysis. Zbl 1275.92068
Yoshikawa, Kogo; Nakamura, Gen
2013
The integral equation method for electromagnetic scattering problem at oblique incidence. Zbl 1241.78016
Wang, Haibing; Nakamura, Gen
2012
Inverse scattering for obliquely incident polarized electromagnetic waves. Zbl 1260.35226
Nakamura, Gen; Wang, Haibing
2012
Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition. Zbl 1282.35276
Jin, Liangbing; Fan, Jishan; Nakamura, Gen; Zhou, Yong
2012
Linear sampling method for identifying cavities in a heat conductor. Zbl 1247.35202
Heck, Horst; Nakamura, Gen; Wang, Haibing
2012
On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026
Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing
2012
Blow-up criteria of smooth solutions to the 3D Boussinesq system with zero viscosity in a bounded domain. Zbl 1243.35137
Fan, Jishan; Nakamura, Gen; Wang, Haibing
2012
On the Cauchy problem for a model of electro-kinetic fluid. Zbl 1358.76078
Fan, Jishan; Nakamura, Gen; Zhou, Yong
2012
Existence of smooth global solutions for a 1-D modified Navier-Stokes-Fourier model. Zbl 1288.35402
Sun, Jianzhu; Fan, Jishan; Nakamura, Gen
2012
The Green function of the interior transmission problem and its applications. Zbl 1266.35020
Kim, Kyoungsun; Nakamura, Gen; Sini, Mourad
2012
A regularity criterion for a fluid system with the linear Soret effect. Zbl 1277.76011
Fan, Jishan; Nakamura, Gen; Zhou, Yong
2012
Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations. Zbl 1270.35339
Fan, Jishan; Jiang, Song; Nakamura, Gen; Zhou, Yong
2011
Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations. Zbl 1236.35120
Fan, Jishan; Gao, Hongjun; Nakamura, Gen
2011
Stability of weak solutions to equations of magnetohydrodynamics with Lebesgue initial data. Zbl 1230.35020
Fan, Jishan; Jiang, Song; Nakamura, Gen
2011
Quantitative strong unique continuation for the Lamé system with less regular coefficients. Zbl 1291.35390
Lin, C.-L.; Nakamura, G.; Uhlmann, G.; Wang, J.-N.
2011
Approximate steady state models for magnetic resonance elastography. Zbl 1234.35311
Jiang, Yu; Fujiwara, Hiroshi; Nakamura, Gen
2011
Quantitative uniqueness for second order elliptic operators with strongly singular coefficients. Zbl 1219.35058
Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan
2011
On logarithmically improved regularity criteria for the Navier-Stokes equations in $$\mathbb R^{n}$$. Zbl 1219.35169
Fan, Jishan; Jiang, Song; Nakamura, Gen
2011
Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients. Zbl 1202.35325
Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan
2010
Inverse viscosity problem for the Navier-Stokes equation. Zbl 1186.35240
Fan, Jishan; di Cristo, Michele; Jiang, Yu; Nakamura, Gen
2010
Reconstruction of an unknown inclusion by thermography. Zbl 1215.35169
Isakov, Victor; Kim, Kyoungsun; Nakamura, Gen
2010
Numerical implementation for a 2-D thermal inhomogeneity through the dynamical probe method. Zbl 1224.65220
Yi, Lei; Kim, Kyoungsun; Nakamura, Gen
2010
The identification of a penetrable obstacle with mixed transmission conditions from far field measurements. Zbl 1188.35198
Cakoni, Fioralba; Nakamura, Gen; Sini, Mourad; Zeev, Noam
2010
Well-posedness of an inverse problem of Navier-Stokes equations with the final overdetermination. Zbl 1181.35329
Fan, J.; Nakamura, G.
2009
Inverse problems for the Boussinesq system. Zbl 1173.35728
Fan, Jishan; Jiang, Yu; Nakamura, Gen
2009
On the identification of a coefficient function in a nonlinear wave equation. Zbl 1172.35311
Nakamura, Gen; Watanabe, Michiyuki; Kaltenbacher, Barbara
2009
Recovery of multiple obstacles by probe method. Zbl 1170.35556
Cheng, Jin; Liu, Jijun; Nakamura, Gen; Wang, Shengzhang
2009
Numerical implementations of dynamical probe method for non-stationary heat equation. Zbl 1162.65393
Daido, Y.; Lei, Y.; Liu, J. J.; Nakamura, G.
2009
Numerical differentiation for the second order derivatives of functions of two variables. Zbl 1133.65011
Nakamura, Gen; Wang, Shengzhang; Wang, Yanbo
2008
Inversion analysis for magnetic resonance elastography. Zbl 1132.35356
Nakamura, Gen; Jiang, Yu; Nagayasu, Sei; Cheng, Jin
2008
An inverse boundary value problem for a nonlinear wave equation. Zbl 1157.35123
Nakamura, Gen; Watanabe, Michiyuki
2008
The no-response approach and its relation to non-iterative methods for the inverse scattering. Zbl 1162.35340
Honda, Naofumi; Nakamura, Gen; Potthast, Roland; Sini, Mourad
2008
Local solvability of an inverse problem to the density-dependent Navier-Stokes equations. Zbl 1152.35398
Fan, Jishan; Nakamura, Gen
2008
Unique continuation for the elastic transversely isotropic dynamical systems and its application. Zbl 1148.74005
Lin, Ching-Lung; Nakamura, Gen; Sini, Mourad
2008
...and 80 more Documents
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### Cited by 1,046 Authors

 74 Nakamura, Gen 59 Fan, Jishan 33 Uhlmann, Gunther Alberto 33 Zhou, Yong 24 Gala, Sadek 21 Wang, Jenn-Nan 21 Yamamoto, Masahiro 20 Li, Fucai 17 Liu, Jijun 17 Sini, Mourad 16 Wang, Haibing 16 Zhang, Zujin 16 Zhu, Mingxuan 13 Lassas, Matti J. 13 Lin, Ching-Lung 13 Lin, Yi-Hsuan 13 Ragusa, Maria Alessandra 12 Ammari, Habib M. 12 Bellassoued, Mourad 12 Liu, Qiao 12 Zhao, Xiaopeng 12 Zhong, Xin 11 Hu, Guanghui 11 Wu, Jiahong 10 Hayat, Tasawar 10 Imanuvilov, Oleg Yu. 10 Kang, Hyeonbae 10 Ma, Liangliang 10 Salo, Mikko 10 Yao, Zhengan 9 Liu, Hongyu 9 Ma, Caochuan 9 Wang, Yinxia 9 Wang, Yuzhu 9 Yamazaki, Kazuo 8 Belishev, Mikhail Igorevitch 8 de Hoop, Maarten V. 8 Jiang, Song 8 Jiang, Zaihong 8 Kian, Yavar 8 Kurylëv, Yaroslav Vadimovich 8 Tan, Zhong 8 Tang, Tong 7 Cârstea, Cătălin Ion 7 Isakov, Victor M. 7 Lai, Ru-Yu 7 Potthast, Roland W. E. 7 Sun, Jianzhu 7 Tzou, Leo 7 Wang, Dehua 7 Wang, Zewen 7 Zhang, Jianwen 7 Zhao, Jihong 6 Lee, Hyundae 6 Li, Peijun 6 Rachele, Lizabeth V. 6 Tanuma, Kazumi 6 Yang, Yang 6 Yuan, Baoquan 5 Amano, Kazuo 5 Cheng, Jin 5 Feizmohammadi, Ali 5 Guo, Jun 5 Guo, Zhengguang 5 Harrach, Bastian 5 Hu, Yuxi 5 Ju, Qiangchang 5 Khludnev, Aleksandr Mikhaĭlovich 5 Oksanen, Lauri 5 Qin, Yuming 5 Vashisth, Manmohan 5 Wan, Renhui 5 Wang, Shu 5 Xu, Xiaojing 5 Ye, Xia 5 Ye, Zhuan 5 Yin, Haiyan 5 Yu, Yanghai 5 Zhai, Jian 4 Al-saedi, Ahmed Eid Salem 4 Bal, Guillaume 4 Cakoni, Fioralba 4 Capdeboscq, Yves 4 Chae, Dongho 4 Chen, Qun 4 Choulli, Mourad 4 Dong, Boqing 4 Dou, Changsheng 4 Gao, Jincheng 4 Honda, Naofumi 4 Hu, Xianpeng 4 Huang, Bin 4 Isozaki, Hiroshi 4 Jiang, Yu 4 Kim, Jaemyoung 4 Kress, Rainer 4 Krupchyk, Katsiaryna 4 Kuan, Rulin 4 Li, Jingzhi 4 Li, Yeping ...and 946 more Authors
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### Cited in 198 Serials

 59 Journal of Mathematical Analysis and Applications 54 Journal of Differential Equations 46 ZAMP. Zeitschrift für angewandte Mathematik und Physik 43 Applicable Analysis 32 Inverse Problems 32 Inverse Problems and Imaging 29 Applied Mathematics Letters 27 Nonlinear Analysis. Real World Applications 26 Journal of Mathematical Physics 24 Communications in Partial Differential Equations 23 Computers & Mathematics with Applications 23 Mathematical Methods in the Applied Sciences 23 SIAM Journal on Mathematical Analysis 22 Journal of Inverse and Ill-Posed Problems 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Boundary Value Problems 16 Applied Mathematics and Computation 16 Acta Applicandae Mathematicae 16 SIAM Journal on Applied Mathematics 16 Journal of Mathematical Fluid Mechanics 14 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 14 Inverse Problems in Science and Engineering 13 Communications in Mathematical Physics 12 Journal of Computational and Applied Mathematics 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Transactions of the American Mathematical Society 10 Archive for Rational Mechanics and Analysis 10 Mathematische Annalen 9 Journal of Computational Physics 9 Proceedings of the American Mathematical Society 9 Proceedings of the Japan Academy. Series A 9 Discrete and Continuous Dynamical Systems 8 Journal of Elasticity 8 Journal of Mathematical Sciences (New York) 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Acta Mathematica Scientia. Series B. (English Edition) 6 Advances in Mathematics 6 Journal of Functional Analysis 6 Bulletin of the Korean Mathematical Society 6 Acta Mathematicae Applicatae Sinica. English Series 6 Engineering Analysis with Boundary Elements 5 Computer Methods in Applied Mechanics and Engineering 5 Quarterly of Applied Mathematics 5 Journal of Integral Equations and Applications 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Abstract and Applied Analysis 5 Communications on Pure and Applied Analysis 4 Nonlinearity 4 Wave Motion 4 Applied Numerical Mathematics 4 The Journal of Geometric Analysis 4 Calculus of Variations and Partial Differential Equations 4 St. Petersburg Mathematical Journal 4 Mathematics and Mechanics of Solids 4 Mathematical Modelling and Analysis 4 Journal of Evolution Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications in Computational Physics 4 Kinetic and Related Models 4 Science China. Mathematics 3 Journal of Engineering Mathematics 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Monatshefte für Mathematik 3 Revista Matemática Iberoamericana 3 Applications of Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 NoDEA. Nonlinear Differential Equations and Applications 3 Advances in Computational Mathematics 3 Mathematical Physics, Analysis and Geometry 3 Multiscale Modeling & Simulation 3 SIAM Journal on Imaging Sciences 2 Journal d’Analyse Mathématique 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 Applied Mathematics and Optimization 2 Computing 2 Indiana University Mathematics Journal 2 International Journal for Numerical Methods in Engineering 2 Numerische Mathematik 2 Results in Mathematics 2 Advances in Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Asymptotic Analysis 2 Japan Journal of Industrial and Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Nonlinear Science 2 Computational Optimization and Applications 2 SIAM Journal on Scientific Computing 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 Taiwanese Journal of Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 98 more Serials
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### Cited in 43 Fields

 927 Partial differential equations (35-XX) 461 Fluid mechanics (76-XX) 167 Mechanics of deformable solids (74-XX) 118 Numerical analysis (65-XX) 98 Optics, electromagnetic theory (78-XX) 29 Quantum theory (81-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Operator theory (47-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 20 Integral equations (45-XX) 20 Classical thermodynamics, heat transfer (80-XX) 20 Geophysics (86-XX) 19 Differential geometry (53-XX) 18 Biology and other natural sciences (92-XX) 16 Real functions (26-XX) 16 Systems theory; control (93-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Ordinary differential equations (34-XX) 9 Potential theory (31-XX) 9 Probability theory and stochastic processes (60-XX) 9 Information and communication theory, circuits (94-XX) 7 Statistics (62-XX) 6 Integral transforms, operational calculus (44-XX) 6 Functional analysis (46-XX) 6 Manifolds and cell complexes (57-XX) 5 Approximations and expansions (41-XX) 4 Functions of a complex variable (30-XX) 4 Computer science (68-XX) 4 Relativity and gravitational theory (83-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX)