## Ogawa, Takayoshi

Compute Distance To:
 Author ID: ogawa.takayoshi Published as: Ogawa, Takayoshi; Ogawa, T. Homepage: http://www.math.tohoku.ac.jp/~ogawa/
 Documents Indexed: 123 Publications since 1984 8 Contributions as Editor Co-Authors: 63 Co-Authors with 113 Joint Publications 1,100 Co-Co-Authors
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### Co-Authors

 11 single-authored 13 Kozono, Hideo 11 Kurokiba, Masaki 8 Kato, Keiichi 8 Shimizu, Senjo 8 Taniuchi, Yasushi 6 Hayashi, Nakao 6 Iwabuchi, Tsukasa 6 Kaikina, Elena Igorevna 6 Tsutsumi, Yoshio 5 Naumkin, Pavel Ivanovich 4 Suzuki, Takashi 4 Wakui, Hiroshi 3 Bekiranov, Daniella 3 Nagai, Toshitaka 3 Nakasato, Ryosuke 3 Ozawa, Tohru 3 Ponce, Gustavo 3 Suguro, Takeshi 3 Takahashi, Futoshi 3 Takeda, Hiroshi 3 Uriya, Kota 2 Haque, Md. Rabiul 2 Ioku, Norisuke 2 Kawashima, Shuichi 2 Sato, Ryuichi 2 Sato, Takuya 2 Tanaka, Kazunaga 2 Yanagida, Eiji 1 Chikami, Noboru 1 Fan, Jishan 1 Gao, Hongjun 1 Giga, Yoshikazu 1 Hayashi, Hidehiko 1 Hosono, Takafumi 1 Hosono, Tatsuya 1 Ikeda, Masahiro 1 Ishiwata, Michinori 1 Jagadeesh, Gopalan 1 Kagei, Yoshiyuki 1 Kawashita, Mishio 1 Kimijima, Atsushi 1 Kimura, Yuki 1 Kobayashi, Takayuki 1 Koike, Shigeaki 1 Kubo, Hideo 1 Kurata, Kazuhiro 1 Machihara, Shuji 1 Masaki, Satoshi 1 Matsui, Tatsuya 1 Matsumoto, Toshitaka 1 Misawa, Masashi 1 Mizuno, Masashi 1 Nakagawa, Kazushige 1 Nakaki, Tatsuyuki 1 O’Keeffe, Michael 1 Onodera, O. 1 Plévert, J. 1 Rajopadhye, Shubha V. 1 Sakaguchi, Shigeru 1 Schonbek, Maria Elena 1 Senba, Takasi 1 Seraku, Kento 1 Sohr, Hermann 1 Takayama, Kazuyoshi 1 Tanino, Tetsuzo 1 Tanisaka, Hirooki 1 Yamamoto, Masakazu 1 Yamane, Yuuki 1 Yokota, Tomomi
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### Serials

 12 Journal of Differential Equations 7 Differential and Integral Equations 7 RIMS Kokyuroku 5 Communications on Pure and Applied Analysis 5 RIMS Kôkyûroku Bessatsu 4 Journal of Functional Analysis 4 Mathematische Zeitschrift 4 Journal of Evolution Equations 3 Journal of Mathematical Analysis and Applications 3 Journal of the Korean Mathematical Society 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Calculus of Variations and Partial Differential Equations 3 Advanced Studies in Pure Mathematics 2 Archive for Rational Mechanics and Analysis 2 Indiana University Mathematics Journal 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Asymptotic Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 NoDEA. Nonlinear Differential Equations and Applications 2 Visual Mathematics 2 Journal of Elliptic and Parabolic Equations 2 SN Partial Differential Equations and Applications 1 Communications in Mathematical Physics 1 International Journal of Systems Science 1 Journal of Mathematical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Shock Waves 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hiroshima Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Kyushu Journal of Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 Advances in Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Communications in Contemporary Mathematics 1 Forma 1 Analysis and Applications (Singapore) 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Differential Equations and Control Processes 1 Acta Crystallographica. Section A 1 Springer Proceedings in Mathematics & Statistics 1 Evolution Equations and Control Theory 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 122 Partial differential equations (35-XX) 33 Fluid mechanics (76-XX) 10 Optics, electromagnetic theory (78-XX) 9 General and overarching topics; collections (00-XX) 9 Biology and other natural sciences (92-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Operator theory (47-XX) 4 Real functions (26-XX) 4 Quantum theory (81-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

96 Publications have been cited 1,434 times in 979 Documents Cited by Year
The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations. Zbl 1055.35087
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
2002
Blow-up of $$H^ 1$$ solution for the nonlinear Schrödinger equation. Zbl 0739.35093
Ogawa, Takayoshi; Tsutsumi, Yoshio
1991
Large time behavior and $$L^{p}$$-$$L^{q}$$ estimate of solutions of 2-dimensional nonlinear damped wave equations. Zbl 1049.35134
Hosono, Takafumi; Ogawa, Takayoshi
2004
A proof of Trudinger’s inequality and its application to nonlinear Schrödinger equations. Zbl 0715.35073
Ogawa, Takayoshi
1990
Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem. Zbl 0733.35095
Ogawa, Takayoshi; Ozawa, Tohru
1991
Navier-Stokes equations in the Besov space near $$L^\infty$$ and BMO. Zbl 1067.35064
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
2003
Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type. Zbl 1161.35432
Kurokiba, Masaki; Ogawa, Takayoshi
2003
Blow-up of $$H^ 1$$ solutions for the one-dimensional nonlinear Schrödinger equation with critical power nonlinearity. Zbl 0747.35004
Ogawa, Takayoshi; Tsutsumi, Yoshio
1991
Interaction equations for short and long dispersive waves. Zbl 0909.35123
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
1998
Well-posedness for the drift-diffusion system in $$L^p$$ arising from the semiconductor device simulation. Zbl 1145.35067
Kurokiba, Masaki; Ogawa, Takayoshi
2008
Sharp Sobolev inequality of logarithmic type and the limiting regularity condition to the harmonic heat flow. Zbl 1036.35082
Ogawa, Takayoshi
2003
Two-dimensional Navier-Stokes flow in unbounded domains. Zbl 0796.35129
Kozono, Hideo; Ogawa, Takayoshi
1993
The drift-diffusion system in two-dimensional critical Hardy space. Zbl 1171.35062
Ogawa, Takayoshi; Shimizu, Senjo
2008
End-point maximal regularity and its application to two-dimensional Keller-Segel system. Zbl 1198.35045
Ogawa, Takayoshi; Shimizu, Senjo
2010
Some $$L^ p$$ estimate for the exterior Stokes flow and an application to the non-stationary Navier-Stokes equations. Zbl 0759.35035
Kozono, Hideo; Ogawa, Takayoshi
1992
On stability of Navier-Stokes flows in exterior domains. Zbl 0833.76016
Kozono, Hideo; Ogawa, Takayoshi
1994
On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain. Zbl 1038.76014
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions. Zbl 0884.35138
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
1997
Asymptotic behavior of solutions to drift-diffusion system with generalized dissipation. Zbl 1187.35015
Ogawa, Takayoshi; Yamamoto, Masakazu
2009
Brezis-Merle inequalities and application to the global existence of the Cauchy problem of the Keller-Segel system. Zbl 1254.35111
Nagai, Toshitaka; Ogawa, Takayoshi
2011
Lifespan of solutions to the damped wave equation with a critical nonlinearity. Zbl 1361.35114
Ikeda, Masahiro; Ogawa, Takayoshi
2016
Energy decay for a weak solution of the Navier-Stokes equation with slowly varying external forces. Zbl 0873.35064
Ogawa, Takayoshi; Rajopadhye, Shubha V.; Schonbek, Maria E.
1997
Asymptotic behaviour in $$L^ r$$ for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0762.35086
Kozono, Hideo; Ogawa, Takayoshi; Sohr, Hermann
1992
Analyticity and smoothing effect for the Korteweg de Vries equation with a single point singularity. Zbl 0956.35115
Kato, Keiichi; Ogawa, Takayoshi
2000
Global existence of solutions to a parabolic-elliptic system of drift-diffusion type in $$\mathbb{R}^2$$. Zbl 1346.35085
Nagai, Toshitaka; Ogawa, Takayoshi
2016
Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries. Zbl 0798.35127
Kozono, Hideo; Ogawa, Takayoshi
1994
An algorithm for solving two-level convex optimization problems. Zbl 0542.90075
Tanino, T.; Ogawa, T.
1984
Uniqueness and inviscid limits of solutions for the complex Ginzburg-Landau equation in a two-dimensional domain. Zbl 1072.35171
Ogawa, Takayoshi; Yokota, Tomomi
2004
On the well-posedness of Benney’s interaction equation of short and long waves. Zbl 0861.35104
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
1996
Ill-posedness for the nonlinear Schrödinger equation with quadratic non-linearity in low dimensions. Zbl 1310.35216
Iwabuchi, Tsukasa; Ogawa, Takayoshi
2015
End-point maximal $$L^1$$-regularity for the Cauchy problem to a parabolic equation with variable coefficients. Zbl 1342.35372
Ogawa, Takayoshi; Shimizu, Senjo
2016
Non-uniform bound and finite time blow up for solutions to a drift-diffusion equation in higher dimensions. Zbl 1331.35157
Ogawa, Takayoshi; Wakui, Hiroshi
2016
The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system. Zbl 1259.35112
Kurokiba, Masaki; Nagai, Toshitaka; Ogawa, Takayoshi
2006
Large time behavior of solutions for a system of nonlinear damped wave equations. Zbl 1233.35038
Ogawa, Takayoshi; Takeda, Hiroshi
2011
Non-existence of weak solutions to nonlinear damped wave equations in exterior domains. Zbl 1196.35142
Ogawa, Takayoshi; Takeda, Hiroshi
2009
Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance. Zbl 1307.35283
Ogawa, Takayoshi; Uriya, Kota
2015
Global existence of solutions for a system of nonlinear damped wave equations. Zbl 1240.35339
Ogawa, Takayoshi; Takeda, Hiroshi
2010
Decay properties of strong solutions for the Navier-Stokes equations in two-dimensional unbounded domains. Zbl 0781.35053
Kozono, Hideo; Ogawa, Takayoshi
1993
A note on blow-up criterion to the 3-D Euler equations in a bounded domain. Zbl 1044.35046
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
Asymptotic stability of a decaying solution to the Keller-Segel system of degenerate type. Zbl 1224.35229
Ogawa, Takayoshi
2008
Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system. Zbl 1296.35120
Kobayashi, Takayuki; Ogawa, Takayoshi
2013
Finite time blow up for a solution to system of the drift-diffusion equations in higher dimensions. Zbl 1365.35054
Kurokiba, Masaki; Ogawa, Takayoshi
2016
Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle. Zbl 1471.26007
Kubo, Hideo; Ogawa, Takayoshi; Suguro, Takeshi
2019
The limiting uniqueness criterion by vorticity for Navier-Stokes equations in Besov spaces. Zbl 1083.35096
Ogawa, Takayoshi; Taniuchi, Yasushi
2004
Well-posedness for the Benjamin equations. Zbl 1012.35075
Kozono, Hideo; Ogawa, Takayoshi; Tanisaka, Hirooki
2001
Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type. Zbl 1133.35020
Ogawa, Takayoshi
2006
Ill-posedness issue for the drift diffusion system in the homogeneous Besov spaces. Zbl 1366.35059
Iwabuchi, Tsukasa; Ogawa, Takayoshi
2016
Asymptotic behavior of solutions to a quadratic nonlinear Schrödinger system with mass resonance. Zbl 1298.35200
Ogawa, Takayoshi; Uriya, Kota
2013
Nonlinear elliptic equations with critical growth related to the Trudinger inequality. Zbl 0857.35047
Ogawa, Takayoshi; Suzuki, Takashi
1996
$$\mathbf{L^2}$$-decay rate for the critical nonlinear Schrödinger equation with a small smooth data. Zbl 1437.35640
Ogawa, Takayoshi; Sato, Takuya
2020
Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical spaces. Zbl 1444.35096
Kurokiba, Masaki; Ogawa, Takayoshi
2020
Threshold of global behavior of solutions to a degenerate drift-diffusion system in between two critical exponents. Zbl 1326.35179
Kimijima, Atsushi; Nakagawa, Kazushige; Ogawa, Takayoshi
2015
Regularity and asymptotic behavior for the Keller-Segel system of degenerate type with critical nonlinearity. Zbl 1302.35088
Mizuno, Masashi; Ogawa, Takayoshi
2013
Global wellposedness for a one-dimensional Chern-Simons-Dirac system in $$L^p$$. Zbl 1379.35267
Machihara, Shuji; Ogawa, Takayoshi
2017
Well-posedness of the compressible Navier-Stokes-Poisson system in the critical Besov spaces. Zbl 1378.35213
Chikami, Noboru; Ogawa, Takayoshi
2017
$$L^p$$-$$L^q$$ type estimate for the fractional order Laplacian in the Hardy space and global existence of the dissipative quasi-geostrophic equation. Zbl 1205.35332
Hayashi, Hidehiko; Ogawa, Takayoshi
2010
Two dimensional elliptic equation with critical nonlinear growth. Zbl 0901.35008
Ogawa, Takayoshi; Suzuki, Takashi
1998
The degenerate drift-diffusion system with the Sobolev critical exponent. Zbl 1227.35142
Ogawa, Takayoshi
2011
Maximal $$L^1$$-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space. Zbl 1479.35172
Ogawa, Takayoshi; Shimizu, Senjo
2021
Ill-posedness for the Cauchy problem of the two-dimensional compressible Navier-Stokes equations for an ideal gas. Zbl 1479.35616
Iwabuchi, Tsukasa; Ogawa, Takayoshi
2021
Logarithmic Sobolev and Shannon’s inequalities and an application to the uncertainty principle. Zbl 1395.42067
Ogawa, Takayoshi; Seraku, Kento
2018
Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations. Zbl 1422.35112
Ioku, Norisuke; Ogawa, Takayoshi
2019
Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space. Zbl 1443.35070
Kurokiba, Masaki; Ogawa, Takayoshi
2020
Remarks on uniqueness and blow-up criterion to the Euler equations in the generalized Besov spaces. Zbl 0980.35121
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
Global well-posedness and conservation laws for the water wave interaction equation. Zbl 0877.35104
Ogawa, Takayoshi
1997
A study of shock wave interaction with a rotating cylinder. Zbl 1062.76522
Sun, M.; Yada, K.; Jagadeesh, G.; Onodera, O.; Ogawa, T.; Takayama, K.
2003
Two dimensional drift-diffusion system in a critical weighted space. Zbl 1363.35148
Kurokiba, Masaki; Ogawa, Takayoshi
2015
Scattering operator for semirelativistic Hartree type equation with a short range potential. Zbl 1374.35330
Hayashi, Nakao; Naumkin, Pavel I.; Ogawa, Takayoshi
2015
Maximal $$L^1$$-regularity for parabolic boundary value problems with inhomogeneous data in the half-space. Zbl 1447.35093
Ogawa, Takayoshi; Shimizu, Senjo
2020
Global well-posedness for the incompressible Navier-Stokes equations in the critical Besov space under the Lagrangian coordinates. Zbl 1454.35260
Ogawa, Takayoshi; Shimizu, Senjo
2021
Finite-time blow-up for solutions to a degenerate drift-diffusion equation for a fast-diffusion case. Zbl 1411.35153
Kurokiba, Masaki; Ogawa, Takayoshi
2019
Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data. Zbl 1437.35628
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi
2020
Homogeneous cubic cylinder packings revisited. Zbl 1370.52042
O’keeffe, M.; Plévert, J.; Ogawa, T.
2002
Method of the distance function to the Bence-Merriman-Osher algorithm for motion by mean curvature. Zbl 1077.35070
Goto, Y.; Ishii, K.; Ogawa, T.
2005
Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition. Zbl 0717.35010
Ogawa, Takayoshi; Tsutsumi, Yoshio
1990
Analytic smoothing effect and single point singularity for the nonlinear Schrödinger equations. Zbl 0969.35124
Kato, Keiichi; Ogawa, Takayoshi
2000
Remarks on blowing-up of solutions for some nonlinear Schrödinger equations. Zbl 0731.35015
Kurata, Kazuhiro; Ogawa, Takayoshi
1990
Wellposedness and analytic smoothing effect for the Benjamin-Ono equation. Zbl 1021.35098
Kaikina, Elena; Kato, Keiichi; Naumkin, Pavel I.; Ogawa, Takayoshi
2002
Trudinger’s inequality and related nonlinear elliptic equations in two- dimension. Zbl 0835.35054
Ogawa, Takayoshi; Suzuki, Takashi
1994
A regularity criterion to the biharmonic map heat flow in $$\mathfrak R^{4}$$. Zbl 1257.35057
Fan, Jishan; Gao, Hongjun; Ogawa, Takayoshi; Takahashi, Futoshi
2012
Interpolation inequality of logarithmic type in abstract Besov spaces and an application to semilinear evolution equations. Zbl 1215.46025
Matsumoto, Toshitaka; Ogawa, Takayoshi
2010
Existence of weak solutions to a convection-diffusion equation in a uniformly local Lebesgue space. Zbl 1433.35180
Haque, Md. Rabiul; Ogawa, Takayoshi; Sato, Ryuichi
2020
Analyticity and smoothing effect for the Korteweg-de Vries equation. Zbl 0945.35080
Kato, Keiichi; Ogawa, Takayoshi
1998
Microscopic asymptotics for solutions of some semilinear elliptic equations. Zbl 0828.35044
Ogawa, Takayoshi; Suzuki, Takashi
1995
Stability and instability of solutions to the drift-diffusion system. Zbl 1374.35196
Ogawa, Takayoshi; Wakui, Hiroshi
2017
Ill-posedness for a system of quadratic nonlinear Schrödinger equations in two dimensions. Zbl 1375.35625
Iwabuchi, Tsukasa; Ogawa, Takayoshi; Uriya, Kota
2016
Critical Sobolev inequality and its application to nonlinear evolution equations in the fluid mechanics. Zbl 0969.35534
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
Problems in a digital description of a configuration of atoms and some other geometrical topics in physics. Zbl 1006.00502
Ogawa, T.
2000
Acoustic analysis of the pressure field in a tunnel, generated by entry of a train. Zbl 0934.76082
Sugimoto, N.; Ogawa, T.
1998
Regularity condition by mean oscillation to a weak solution of the 2-dimensional harmonic heat flow into sphere. Zbl 1177.35115
Misawa, Masashi; Ogawa, Takayoshi
2008
Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier-Sobolev space. Zbl 1455.35201
Matsui, Tatsuya; Nakasato, Ryosuke; Ogawa, Takayoshi
2021
Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces. Zbl 1474.35404
Haque, Md. Rabiul; Ioku, Norisuke; Ogawa, Takayoshi; Sato, Ryuichi
2021
Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case. Zbl 1479.35540
Ogawa, Takayoshi; Suguro, Takeshi
2022
Inhomogeneous Neumann-boundary value problem for nonlinear Schrödinger equations in the upper half-space. Zbl 07442501
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi
2021
Ill-posedness for the compressible Navier-Stokes equations under barotropic condition in limiting Besov spaces. Zbl 1487.35294
Iwabuchi, Tsukasa; Ogawa, Takayoshi
2022
Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework. Zbl 1489.35204
Kawashima, Shuichi; Nakasato, Ryosuke; Ogawa, Takayoshi
2022
Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case. Zbl 1479.35540
Ogawa, Takayoshi; Suguro, Takeshi
2022
Ill-posedness for the compressible Navier-Stokes equations under barotropic condition in limiting Besov spaces. Zbl 1487.35294
Iwabuchi, Tsukasa; Ogawa, Takayoshi
2022
Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework. Zbl 1489.35204
Kawashima, Shuichi; Nakasato, Ryosuke; Ogawa, Takayoshi
2022
Maximal $$L^1$$-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space. Zbl 1479.35172
Ogawa, Takayoshi; Shimizu, Senjo
2021
Ill-posedness for the Cauchy problem of the two-dimensional compressible Navier-Stokes equations for an ideal gas. Zbl 1479.35616
Iwabuchi, Tsukasa; Ogawa, Takayoshi
2021
Global well-posedness for the incompressible Navier-Stokes equations in the critical Besov space under the Lagrangian coordinates. Zbl 1454.35260
Ogawa, Takayoshi; Shimizu, Senjo
2021
Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier-Sobolev space. Zbl 1455.35201
Matsui, Tatsuya; Nakasato, Ryosuke; Ogawa, Takayoshi
2021
Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces. Zbl 1474.35404
Haque, Md. Rabiul; Ioku, Norisuke; Ogawa, Takayoshi; Sato, Ryuichi
2021
Inhomogeneous Neumann-boundary value problem for nonlinear Schrödinger equations in the upper half-space. Zbl 07442501
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi
2021
$$\mathbf{L^2}$$-decay rate for the critical nonlinear Schrödinger equation with a small smooth data. Zbl 1437.35640
Ogawa, Takayoshi; Sato, Takuya
2020
Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical spaces. Zbl 1444.35096
Kurokiba, Masaki; Ogawa, Takayoshi
2020
Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space. Zbl 1443.35070
Kurokiba, Masaki; Ogawa, Takayoshi
2020
Maximal $$L^1$$-regularity for parabolic boundary value problems with inhomogeneous data in the half-space. Zbl 1447.35093
Ogawa, Takayoshi; Shimizu, Senjo
2020
Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data. Zbl 1437.35628
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi
2020
Existence of weak solutions to a convection-diffusion equation in a uniformly local Lebesgue space. Zbl 1433.35180
Haque, Md. Rabiul; Ogawa, Takayoshi; Sato, Ryuichi
2020
Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle. Zbl 1471.26007
Kubo, Hideo; Ogawa, Takayoshi; Suguro, Takeshi
2019
Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations. Zbl 1422.35112
Ioku, Norisuke; Ogawa, Takayoshi
2019
Finite-time blow-up for solutions to a degenerate drift-diffusion equation for a fast-diffusion case. Zbl 1411.35153
Kurokiba, Masaki; Ogawa, Takayoshi
2019
Logarithmic Sobolev and Shannon’s inequalities and an application to the uncertainty principle. Zbl 1395.42067
Ogawa, Takayoshi; Seraku, Kento
2018
Global wellposedness for a one-dimensional Chern-Simons-Dirac system in $$L^p$$. Zbl 1379.35267
Machihara, Shuji; Ogawa, Takayoshi
2017
Well-posedness of the compressible Navier-Stokes-Poisson system in the critical Besov spaces. Zbl 1378.35213
Chikami, Noboru; Ogawa, Takayoshi
2017
Stability and instability of solutions to the drift-diffusion system. Zbl 1374.35196
Ogawa, Takayoshi; Wakui, Hiroshi
2017
Lifespan of solutions to the damped wave equation with a critical nonlinearity. Zbl 1361.35114
Ikeda, Masahiro; Ogawa, Takayoshi
2016
Global existence of solutions to a parabolic-elliptic system of drift-diffusion type in $$\mathbb{R}^2$$. Zbl 1346.35085
Nagai, Toshitaka; Ogawa, Takayoshi
2016
End-point maximal $$L^1$$-regularity for the Cauchy problem to a parabolic equation with variable coefficients. Zbl 1342.35372
Ogawa, Takayoshi; Shimizu, Senjo
2016
Non-uniform bound and finite time blow up for solutions to a drift-diffusion equation in higher dimensions. Zbl 1331.35157
Ogawa, Takayoshi; Wakui, Hiroshi
2016
Finite time blow up for a solution to system of the drift-diffusion equations in higher dimensions. Zbl 1365.35054
Kurokiba, Masaki; Ogawa, Takayoshi
2016
Ill-posedness issue for the drift diffusion system in the homogeneous Besov spaces. Zbl 1366.35059
Iwabuchi, Tsukasa; Ogawa, Takayoshi
2016
Ill-posedness for a system of quadratic nonlinear Schrödinger equations in two dimensions. Zbl 1375.35625
Iwabuchi, Tsukasa; Ogawa, Takayoshi; Uriya, Kota
2016
Ill-posedness for the nonlinear Schrödinger equation with quadratic non-linearity in low dimensions. Zbl 1310.35216
Iwabuchi, Tsukasa; Ogawa, Takayoshi
2015
Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance. Zbl 1307.35283
Ogawa, Takayoshi; Uriya, Kota
2015
Threshold of global behavior of solutions to a degenerate drift-diffusion system in between two critical exponents. Zbl 1326.35179
Kimijima, Atsushi; Nakagawa, Kazushige; Ogawa, Takayoshi
2015
Two dimensional drift-diffusion system in a critical weighted space. Zbl 1363.35148
Kurokiba, Masaki; Ogawa, Takayoshi
2015
Scattering operator for semirelativistic Hartree type equation with a short range potential. Zbl 1374.35330
Hayashi, Nakao; Naumkin, Pavel I.; Ogawa, Takayoshi
2015
Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system. Zbl 1296.35120
Kobayashi, Takayuki; Ogawa, Takayoshi
2013
Asymptotic behavior of solutions to a quadratic nonlinear Schrödinger system with mass resonance. Zbl 1298.35200
Ogawa, Takayoshi; Uriya, Kota
2013
Regularity and asymptotic behavior for the Keller-Segel system of degenerate type with critical nonlinearity. Zbl 1302.35088
Mizuno, Masashi; Ogawa, Takayoshi
2013
A regularity criterion to the biharmonic map heat flow in $$\mathfrak R^{4}$$. Zbl 1257.35057
Fan, Jishan; Gao, Hongjun; Ogawa, Takayoshi; Takahashi, Futoshi
2012
Brezis-Merle inequalities and application to the global existence of the Cauchy problem of the Keller-Segel system. Zbl 1254.35111
Nagai, Toshitaka; Ogawa, Takayoshi
2011
Large time behavior of solutions for a system of nonlinear damped wave equations. Zbl 1233.35038
Ogawa, Takayoshi; Takeda, Hiroshi
2011
The degenerate drift-diffusion system with the Sobolev critical exponent. Zbl 1227.35142
Ogawa, Takayoshi
2011
End-point maximal regularity and its application to two-dimensional Keller-Segel system. Zbl 1198.35045
Ogawa, Takayoshi; Shimizu, Senjo
2010
Global existence of solutions for a system of nonlinear damped wave equations. Zbl 1240.35339
Ogawa, Takayoshi; Takeda, Hiroshi
2010
$$L^p$$-$$L^q$$ type estimate for the fractional order Laplacian in the Hardy space and global existence of the dissipative quasi-geostrophic equation. Zbl 1205.35332
Hayashi, Hidehiko; Ogawa, Takayoshi
2010
Interpolation inequality of logarithmic type in abstract Besov spaces and an application to semilinear evolution equations. Zbl 1215.46025
Matsumoto, Toshitaka; Ogawa, Takayoshi
2010
Asymptotic behavior of solutions to drift-diffusion system with generalized dissipation. Zbl 1187.35015
Ogawa, Takayoshi; Yamamoto, Masakazu
2009
Non-existence of weak solutions to nonlinear damped wave equations in exterior domains. Zbl 1196.35142
Ogawa, Takayoshi; Takeda, Hiroshi
2009
Well-posedness for the drift-diffusion system in $$L^p$$ arising from the semiconductor device simulation. Zbl 1145.35067
Kurokiba, Masaki; Ogawa, Takayoshi
2008
The drift-diffusion system in two-dimensional critical Hardy space. Zbl 1171.35062
Ogawa, Takayoshi; Shimizu, Senjo
2008
Asymptotic stability of a decaying solution to the Keller-Segel system of degenerate type. Zbl 1224.35229
Ogawa, Takayoshi
2008
Regularity condition by mean oscillation to a weak solution of the 2-dimensional harmonic heat flow into sphere. Zbl 1177.35115
Misawa, Masashi; Ogawa, Takayoshi
2008
The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system. Zbl 1259.35112
Kurokiba, Masaki; Nagai, Toshitaka; Ogawa, Takayoshi
2006
Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type. Zbl 1133.35020
Ogawa, Takayoshi
2006
Method of the distance function to the Bence-Merriman-Osher algorithm for motion by mean curvature. Zbl 1077.35070
Goto, Y.; Ishii, K.; Ogawa, T.
2005
Large time behavior and $$L^{p}$$-$$L^{q}$$ estimate of solutions of 2-dimensional nonlinear damped wave equations. Zbl 1049.35134
Hosono, Takafumi; Ogawa, Takayoshi
2004
Uniqueness and inviscid limits of solutions for the complex Ginzburg-Landau equation in a two-dimensional domain. Zbl 1072.35171
Ogawa, Takayoshi; Yokota, Tomomi
2004
The limiting uniqueness criterion by vorticity for Navier-Stokes equations in Besov spaces. Zbl 1083.35096
Ogawa, Takayoshi; Taniuchi, Yasushi
2004
Navier-Stokes equations in the Besov space near $$L^\infty$$ and BMO. Zbl 1067.35064
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
2003
Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type. Zbl 1161.35432
Kurokiba, Masaki; Ogawa, Takayoshi
2003
Sharp Sobolev inequality of logarithmic type and the limiting regularity condition to the harmonic heat flow. Zbl 1036.35082
Ogawa, Takayoshi
2003
On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain. Zbl 1038.76014
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
A note on blow-up criterion to the 3-D Euler equations in a bounded domain. Zbl 1044.35046
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
A study of shock wave interaction with a rotating cylinder. Zbl 1062.76522
Sun, M.; Yada, K.; Jagadeesh, G.; Onodera, O.; Ogawa, T.; Takayama, K.
2003
The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations. Zbl 1055.35087
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
2002
Homogeneous cubic cylinder packings revisited. Zbl 1370.52042
O&rsquo;keeffe, M.; Plévert, J.; Ogawa, T.
2002
Wellposedness and analytic smoothing effect for the Benjamin-Ono equation. Zbl 1021.35098
Kaikina, Elena; Kato, Keiichi; Naumkin, Pavel I.; Ogawa, Takayoshi
2002
Well-posedness for the Benjamin equations. Zbl 1012.35075
Kozono, Hideo; Ogawa, Takayoshi; Tanisaka, Hirooki
2001
Analyticity and smoothing effect for the Korteweg de Vries equation with a single point singularity. Zbl 0956.35115
Kato, Keiichi; Ogawa, Takayoshi
2000
Remarks on uniqueness and blow-up criterion to the Euler equations in the generalized Besov spaces. Zbl 0980.35121
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
Analytic smoothing effect and single point singularity for the nonlinear Schrödinger equations. Zbl 0969.35124
Kato, Keiichi; Ogawa, Takayoshi
2000
Critical Sobolev inequality and its application to nonlinear evolution equations in the fluid mechanics. Zbl 0969.35534
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
Problems in a digital description of a configuration of atoms and some other geometrical topics in physics. Zbl 1006.00502
Ogawa, T.
2000
Interaction equations for short and long dispersive waves. Zbl 0909.35123
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
1998
Two dimensional elliptic equation with critical nonlinear growth. Zbl 0901.35008
Ogawa, Takayoshi; Suzuki, Takashi
1998
Analyticity and smoothing effect for the Korteweg-de Vries equation. Zbl 0945.35080
Kato, Keiichi; Ogawa, Takayoshi
1998
Acoustic analysis of the pressure field in a tunnel, generated by entry of a train. Zbl 0934.76082
Sugimoto, N.; Ogawa, T.
1998
Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions. Zbl 0884.35138
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
1997
Energy decay for a weak solution of the Navier-Stokes equation with slowly varying external forces. Zbl 0873.35064
Ogawa, Takayoshi; Rajopadhye, Shubha V.; Schonbek, Maria E.
1997
Global well-posedness and conservation laws for the water wave interaction equation. Zbl 0877.35104
Ogawa, Takayoshi
1997
On the well-posedness of Benney’s interaction equation of short and long waves. Zbl 0861.35104
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo
1996
Nonlinear elliptic equations with critical growth related to the Trudinger inequality. Zbl 0857.35047
Ogawa, Takayoshi; Suzuki, Takashi
1996
Microscopic asymptotics for solutions of some semilinear elliptic equations. Zbl 0828.35044
Ogawa, Takayoshi; Suzuki, Takashi
1995
On stability of Navier-Stokes flows in exterior domains. Zbl 0833.76016
Kozono, Hideo; Ogawa, Takayoshi
1994
Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries. Zbl 0798.35127
Kozono, Hideo; Ogawa, Takayoshi
1994
Trudinger’s inequality and related nonlinear elliptic equations in two- dimension. Zbl 0835.35054
Ogawa, Takayoshi; Suzuki, Takashi
1994
Two-dimensional Navier-Stokes flow in unbounded domains. Zbl 0796.35129
Kozono, Hideo; Ogawa, Takayoshi
1993
Decay properties of strong solutions for the Navier-Stokes equations in two-dimensional unbounded domains. Zbl 0781.35053
Kozono, Hideo; Ogawa, Takayoshi
1993
Some $$L^ p$$ estimate for the exterior Stokes flow and an application to the non-stationary Navier-Stokes equations. Zbl 0759.35035
Kozono, Hideo; Ogawa, Takayoshi
1992
Asymptotic behaviour in $$L^ r$$ for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0762.35086
Kozono, Hideo; Ogawa, Takayoshi; Sohr, Hermann
1992
Blow-up of $$H^ 1$$ solution for the nonlinear Schrödinger equation. Zbl 0739.35093
Ogawa, Takayoshi; Tsutsumi, Yoshio
1991
Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem. Zbl 0733.35095
Ogawa, Takayoshi; Ozawa, Tohru
1991
Blow-up of $$H^ 1$$ solutions for the one-dimensional nonlinear Schrödinger equation with critical power nonlinearity. Zbl 0747.35004
Ogawa, Takayoshi; Tsutsumi, Yoshio
1991
A proof of Trudinger’s inequality and its application to nonlinear Schrödinger equations. Zbl 0715.35073
Ogawa, Takayoshi
1990
Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition. Zbl 0717.35010
Ogawa, Takayoshi; Tsutsumi, Yoshio
1990
Remarks on blowing-up of solutions for some nonlinear Schrödinger equations. Zbl 0731.35015
Kurata, Kazuhiro; Ogawa, Takayoshi
1990
An algorithm for solving two-level convex optimization problems. Zbl 0542.90075
Tanino, T.; Ogawa, T.
1984
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### Cited by 861 Authors

 52 Ogawa, Takayoshi 33 Fan, Jishan 26 Ozawa, Tohru 20 Ikeda, Masahiro 19 Zhang, Jian 18 Wakasugi, Yuta 18 Zhao, Jihong 16 Kozono, Hideo 16 Zhou, Yong 13 Iwabuchi, Tsukasa 13 Shimizu, Senjo 12 Gala, Sadek 12 Hayashi, Nakao 12 Nishihara, Kenji 12 Taniuchi, Yasushi 12 Wadade, Hidemitsu 11 Liu, Qiao 11 Schonbek, Maria Elena 11 Takeda, Hiroshi 11 Zhang, Zhifei 10 Dinh, Van Duong 10 Inui, Takahisa 10 Kaikina, Elena Igorevna 10 Sobajima, Motohiro 10 Yuan, Baoquan 9 Biler, Piotr 9 Cui, Shangbin 9 Himonas, A. Alexandrou 9 Nakamura, Gen 9 Yamamoto, Masakazu 8 Chen, Qionglei 8 Dong, Boqing 8 Figueira, Mário S. R. 8 Guo, Boling 8 Han, Pigong 8 Hoshino, Gaku 8 Lai, Ningan 8 Nagai, Toshitaka 8 Takada, Ryo 8 Yamada, Tetsuya 8 Ye, Zhuan 7 Gan, Zaihui 7 Karch, Grzegorz 7 Machihara, Shuji 7 Miao, Changxing 7 Pastor, Ademir 7 Ragusa, Maria Alessandra 7 Skalák, Zdeněk 7 Uriya, Kota 7 Wang, Weike 7 Wang, Yinxia 6 Bae, Hyeong-Ohk 6 Fujiwara, Kazumasa 6 Guo, Zihua 6 Ikehata, Ryo 6 Ishiwata, Michinori 6 Kurokiba, Masaki 6 Nakanishi, Kenji 6 Naumkin, Pavel Ivanovich 6 Okamoto, Mamoru 6 Roh, Jaiok 6 Suguro, Takeshi 6 Wakui, Hiroshi 6 Wang, Yuzhu 6 Yokota, Tomomi 6 Zhang, Zujin 6 Zhu, Shihui 5 Chae, Dongho 5 Corcho, Adán J. 5 Dias, João-Paulo 5 Farwig, Reinhard 5 Fino, Ahmad Z. 5 Forcella, Luigi 5 Grujić, Zoran 5 Jin, Bumja 5 Kawakami, Tatsuki 5 Masmoudi, Nader 5 Merle, Frank 5 Nakamura, Makoto 5 Saanouni, Tarek 5 Sato, Takuya 5 Shu, Ji 5 Sugiyama, Yoshie 5 Suzuki, Takashi 5 Tzvetkov, Nikolay 5 Xu, Runzhang 5 Xu, Xiaojing 5 Zienkiewicz, Jacek 4 Amorim, Paulo 4 Burq, Nicolas 4 Carvajal, Xavier Paredes 4 Dodson, Benjamin G. 4 Farah, Luiz Gustavo 4 Gerard, Patrick 4 Hayashi, Masayuki 4 Huh, Hyungjin 4 Ishige, Kazuhiro 4 Kawashima, Shuichi 4 Kurganov, Alexander 4 Li, Fucai ...and 761 more Authors
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### Cited in 179 Serials

 103 Journal of Differential Equations 89 Journal of Mathematical Analysis and Applications 74 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Journal of Evolution Equations 30 Journal of Functional Analysis 26 Communications on Pure and Applied Analysis 24 Journal of Mathematical Physics 23 Mathematical Methods in the Applied Sciences 20 Nonlinear Analysis. Real World Applications 18 Discrete and Continuous Dynamical Systems 17 Applicable Analysis 17 Proceedings of the American Mathematical Society 15 Communications in Partial Differential Equations 14 Archive for Rational Mechanics and Analysis 14 Communications in Mathematical Physics 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Mathematische Annalen 13 Calculus of Variations and Partial Differential Equations 13 NoDEA. Nonlinear Differential Equations and Applications 11 Applied Mathematics and Computation 11 Journal of Mathematical Fluid Mechanics 10 Computers & Mathematics with Applications 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Applied Mathematics Letters 8 Mathematische Nachrichten 8 Communications in Contemporary Mathematics 7 Mathematische Zeitschrift 7 Asymptotic Analysis 7 Abstract and Applied Analysis 7 Acta Mathematica Sinica. English Series 7 Annales Henri Poincaré 7 Discrete and Continuous Dynamical Systems. Series B 7 Discrete and Continuous Dynamical Systems. Series S 7 SN Partial Differential Equations and Applications 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Transactions of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 SIAM Journal on Mathematical Analysis 5 Electronic Journal of Differential Equations (EJDE) 5 The Journal of Fourier Analysis and Applications 5 Boundary Value Problems 5 Evolution Equations and Control Theory 4 Nonlinearity 4 Advances in Mathematics 4 Journal of the Mathematical Society of Japan 4 Manuscripta Mathematica 4 Osaka Journal of Mathematics 4 Proceedings of the Japan Academy. Series A 4 Journal of Inequalities and Applications 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Hyperbolic Differential Equations 4 Advances in Nonlinear Analysis 4 Nonlinear Analysis. Theory, Methods & Applications 3 Acta Mathematica 3 Annales Polonici Mathematici 3 Archiv der Mathematik 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal of Dynamics and Differential Equations 3 Journal of Nonlinear Science 3 Revista Matemática Complutense 3 Journal of Applied Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Advanced Nonlinear Studies 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Advances in Mathematical Physics 3 Journal of Elliptic and Parabolic Equations 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Monatshefte für Mathematik 2 Tôhoku Mathematical Journal. Second Series 2 Tokyo Journal of Mathematics 2 Science in China. Series A 2 The Journal of Geometric Analysis 2 Applications of Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Computational and Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Frontiers of Mathematics in China 2 Analysis & PDE 2 Differential Equations and Applications 2 International Journal of Differential Equations 2 Science China. Mathematics 2 ISRN Mathematical Analysis 2 AIMS Mathematics 2 Pure and Applied Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal ...and 79 more Serials
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### Cited in 39 Fields

 926 Partial differential equations (35-XX) 320 Fluid mechanics (76-XX) 64 Biology and other natural sciences (92-XX) 46 Functional analysis (46-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 31 Operator theory (47-XX) 30 Quantum theory (81-XX) 29 Real functions (26-XX) 29 Statistical mechanics, structure of matter (82-XX) 25 Dynamical systems and ergodic theory (37-XX) 23 Optics, electromagnetic theory (78-XX) 20 Numerical analysis (65-XX) 14 Ordinary differential equations (34-XX) 13 Mechanics of deformable solids (74-XX) 11 Functions of a complex variable (30-XX) 11 Probability theory and stochastic processes (60-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Geophysics (86-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Systems theory; control (93-XX) 5 Special functions (33-XX) 4 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX)