# zbMATH — the first resource for mathematics

## Ogawa, Takayoshi

Compute Distance To:
 Author ID: ogawa.takayoshi Published as: Ogawa, T.; Ogawa, Takayoshi
 Documents Indexed: 117 Publications since 1990, including 6 Books
all top 5

#### Co-Authors

 10 single-authored 13 Kozono, Hideo 10 Kurokiba, Masaki 8 Kato, Keiichi 8 Taniuchi, Yasushi 6 Shimizu, Senjo 6 Tsutsumi, Yoshio 4 Iwabuchi, Tsukasa 4 Naumkin, Pavel Ivanovich 4 Suzuki, Takashi 3 Bekiranov, Daniella 3 Hayashi, Nakao 3 Kaikina, Elena Igorevna 3 Nagai, Toshitaka 3 Ozawa, Tohru 3 Ponce, Gustavo 3 Takahashi, Futoshi 3 Takeda, Hiroshi 3 Uriya, Kota 3 Wakui, Hiroshi 2 Haque, Md. Rabiul 2 Ioku, Norisuke 2 Sato, Ryuichi 2 Sato, Takuya 2 Tanaka, Kazunaga 2 Yanagida, Eiji 1 Adachi, Tsuyoshi 1 Chikami, Noboru 1 Fan, Jishan 1 Gao, Hongjun 1 Giga, Yoshikazu 1 Hayashi, Hidehiko 1 Hishida, Toshiaki 1 Hosono, Takafumi 1 Ikeda, Masahiro 1 Ishiwata, Michinori 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 Nakasato, Ryosuke 1 Rajopadhye, Shubha V. 1 Sakaguchi, Shigeru 1 Schonbek, Maria Elena 1 Senba, Takasi 1 Seraku, Kento 1 Sohr, Hermann 1 Suguro, Takeshi 1 Tanisaka, Hirooki 1 Yamamoto, Masakazu 1 Yamane, Yuuki 1 Yokota, Tomomi
all top 5

#### Serials

 10 Journal of Differential Equations 7 RIMS Kokyuroku 6 Differential and Integral Equations 5 RIMS Kôkyûroku Bessatsu 4 Journal of Functional Analysis 4 Mathematische Zeitschrift 4 Communications on Pure and Applied Analysis 3 Journal of the Korean Mathematical Society 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Journal of Evolution Equations 3 Advanced Studies in Pure Mathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Indiana University Mathematics Journal 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hiroshima Mathematical Journal 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 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Asymptotic Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 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 Journal of Mathematical Fluid Mechanics 1 Communications in Contemporary Mathematics 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 Springer Proceedings in Mathematics & Statistics 1 Evolution Equations and Control Theory 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 108 Partial differential equations (35-XX) 27 Fluid mechanics (76-XX) 9 Optics, electromagnetic theory (78-XX) 8 General and overarching topics; collections (00-XX) 7 Biology and other natural sciences (92-XX) 6 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Real functions (26-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 1 History and biography (01-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 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

81 Publications have been cited 1,196 times in 834 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
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
Navier-Stokes equations in the Besov space near $$L^\infty$$ and BMO. Zbl 1067.35064
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
2003
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
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
The drift-diffusion system in two-dimensional critical Hardy space. Zbl 1171.35062
Ogawa, Takayoshi; Shimizu, Senjo
2008
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
Lifespan of solutions to the damped wave equation with a critical nonlinearity. Zbl 1361.35114
Ikeda, Masahiro; Ogawa, Takayoshi
2016
Asymptotic behavior of solutions to drift-diffusion system with generalized dissipation. Zbl 1187.35015
Ogawa, Takayoshi; Yamamoto, Masakazu
2009
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
On stability of Navier-Stokes flows in exterior domains. Zbl 0833.76016
Kozono, Hideo; Ogawa, Takayoshi
1994
End-point maximal regularity and its application to two-dimensional Keller-Segel system. Zbl 1198.35045
Ogawa, Takayoshi; Shimizu, Senjo
2010
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
Analyticity and smoothing effect for the Korteweg de Vries equation with a single point singularity. Zbl 0956.35115
Kato, Keiichi; Ogawa, Takayoshi
2000
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 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
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
Large time behavior of solutions for a system of nonlinear damped wave equations. Zbl 1233.35038
Ogawa, Takayoshi; Takeda, Hiroshi
2011
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
Non-existence of weak solutions to nonlinear damped wave equations in exterior domains. Zbl 1196.35142
Ogawa, Takayoshi; Takeda, Hiroshi
2009
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
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
Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance. Zbl 1307.35283
Ogawa, Takayoshi; Uriya, Kota
2015
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
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
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
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 stability of a decaying solution to the Keller-Segel system of degenerate type. Zbl 1224.35229
Ogawa, Takayoshi
2008
A note on blow-up criterion to the 3-D Euler equations in a bounded domain. Zbl 1044.35046
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type. Zbl 1133.35020
Ogawa, Takayoshi
2006
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
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
Global wellposedness for a one-dimensional Chern-Simons-Dirac system in $$L^p$$. Zbl 1379.35267
Machihara, Shuji; Ogawa, Takayoshi
2017
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
Asymptotic behavior of solutions to a quadratic nonlinear Schrödinger system with mass resonance. Zbl 1298.35200
Ogawa, Takayoshi; Uriya, Kota
2013
The degenerate drift-diffusion system with the Sobolev critical exponent. Zbl 1227.35142
Ogawa, Takayoshi
2011
Two dimensional elliptic equation with critical nonlinear growth. Zbl 0901.35008
Ogawa, Takayoshi; Suzuki, Takashi
1998
Nonlinear elliptic equations with critical growth related to the Trudinger inequality. Zbl 0857.35047
Ogawa, Takayoshi; Suzuki, Takashi
1996
Well-posedness of the compressible Navier-Stokes-Poisson system in the critical Besov spaces. Zbl 1378.35213
Chikami, Noboru; Ogawa, Takayoshi
2017
Scattering operator for semirelativistic Hartree type equation with a short range potential. Zbl 1374.35330
Hayashi, Nakao; Naumkin, Pavel I.; Ogawa, Takayoshi
2015
$$L^p$$-$$L^q$$ 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
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
Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition. Zbl 0717.35010
Ogawa, Takayoshi; Tsutsumi, Yoshio
1990
Ill-posedness issue for the drift diffusion system in the homogeneous Besov spaces. Zbl 1366.35059
Iwabuchi, Tsukasa; Ogawa, Takayoshi
2016
Two dimensional drift-diffusion system in a critical weighted space. Zbl 1363.35148
Kurokiba, Masaki; Ogawa, Takayoshi
2015
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
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
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
Wellposedness and analytic smoothing effect for the Benjamin-Ono equation. Zbl 1021.35098
Kaikina, Elena; Kato, Keiichi; Naumkin, Pavel I.; Ogawa, Takayoshi
2002
Analytic smoothing effect and single point singularity for the nonlinear Schrödinger equations. Zbl 0969.35124
Kato, Keiichi; Ogawa, Takayoshi
2000
Trudinger’s inequality and related nonlinear elliptic equations in two- dimension. Zbl 0835.35054
Ogawa, Takayoshi; Suzuki, Takashi
1994
Remarks on blowing-up of solutions for some nonlinear Schrödinger equations. Zbl 0731.35015
Kurata, Kazuhiro; Ogawa, Takayoshi
1990
Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space. Zbl 1443.35070
Kurokiba, Masaki; Ogawa, Takayoshi
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
$$\mathbf{L^2}$$-decay rate for the critical nonlinear Schrödinger equation with a small smooth data. Zbl 1437.35640
Ogawa, Takayoshi; Sato, Takuya
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
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
Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle. Zbl 07020562
Kubo, Hideo; Ogawa, Takayoshi; Suguro, Takeshi
2019
Logarithmic Sobolev and Shannon’s inequalities and an application to the uncertainty principle. Zbl 1395.42067
Ogawa, Takayoshi; Seraku, Kento
2018
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
Homogeneous cubic cylinder packings revisited. Zbl 1370.52042
O’keeffe, M.; Plévert, J.; Ogawa, T.
2002
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
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
Microscopic asymptotics for solutions of some semilinear elliptic equations. Zbl 0828.35044
Ogawa, Takayoshi; Suzuki, Takashi
1995
Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space. Zbl 1443.35070
Kurokiba, Masaki; Ogawa, Takayoshi
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
$$\mathbf{L^2}$$-decay rate for the critical nonlinear Schrödinger equation with a small smooth data. Zbl 1437.35640
Ogawa, Takayoshi; Sato, Takuya
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
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
Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle. Zbl 07020562
Kubo, Hideo; Ogawa, Takayoshi; Suguro, Takeshi
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
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
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
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
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 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
Scattering operator for semirelativistic Hartree type equation with a short range potential. Zbl 1374.35330
Hayashi, Nakao; Naumkin, Pavel I.; Ogawa, Takayoshi
2015
Two dimensional drift-diffusion system in a critical weighted space. Zbl 1363.35148
Kurokiba, Masaki; 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
Regularity and asymptotic behavior for the Keller-Segel system of degenerate type with critical nonlinearity. Zbl 1302.35088
Mizuno, Masashi; Ogawa, Takayoshi
2013
Asymptotic behavior of solutions to a quadratic nonlinear Schrödinger system with mass resonance. Zbl 1298.35200
Ogawa, Takayoshi; Uriya, Kota
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
Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type. Zbl 1161.35432
Kurokiba, Masaki; Ogawa, Takayoshi
2003
Navier-Stokes equations in the Besov space near $$L^\infty$$ and BMO. Zbl 1067.35064
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
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
Wellposedness and analytic smoothing effect for the Benjamin-Ono equation. Zbl 1021.35098
Kaikina, Elena; Kato, Keiichi; Naumkin, Pavel I.; Ogawa, Takayoshi
2002
Homogeneous cubic cylinder packings revisited. Zbl 1370.52042
O’keeffe, M.; Plévert, J.; Ogawa, T.
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
all top 5

#### Cited by 769 Authors

 40 Ogawa, Takayoshi 33 Fan, Jishan 23 Ozawa, Tohru 18 Ikeda, Masahiro 18 Zhao, Jihong 17 Wakasugi, Yuta 16 Zhang, Jian 16 Zhou, Yong 15 Kozono, Hideo 12 Nishihara, Kenji 11 Hayashi, Nakao 11 Liu, Qiao 11 Schonbek, Maria Elena 11 Takeda, Hiroshi 11 Wadade, Hidemitsu 11 Zhang, Zhifei 10 Iwabuchi, Tsukasa 10 Sobajima, Motohiro 10 Taniuchi, Yasushi 9 Biler, Piotr 9 Cui, Shangbin 9 Nakamura, Gen 9 Ye, Zhuan 9 Ye, Zhuan 9 Yuan, Baoquan 8 Chen, Qionglei 8 Dong, Boqing 8 Figueira, Mário S. R. 8 Guo, Boling 8 Han, Pigong 8 Hoshino, Gaku 8 Inui, Takahisa 8 Kaikina, Elena Igorevna 8 Lai, Ning-An 8 Shimizu, Senjo 8 Yamamoto, Masakazu 7 Gan, Zaihui 7 Karch, Grzegorz 7 Machihara, Shuji 7 Miao, Changxing 7 Skalák, Zdeněk 7 Takada, Ryo 7 Wang, Weike 7 Wang, Yinxia 6 Bae, Hyeong-Ohk 6 Gala, Sadek 6 Himonas, A. Alexandrou 6 Ikehata, Ryo 6 Nagai, Toshitaka 6 Naumkin, Pavel Ivanovich 6 Okamoto, Mamoru 6 Roh, Jaiok 6 Uriya, Kota 6 Wang, Yuzhu 6 Yokota, Tomomi 6 Zhang, Zujin 6 Zhu, Shihui 5 Chae, Dongho 5 Corcho, Adán J. 5 Dias, João-Paulo 5 Dinh, Van Duong 5 Fino, Ahmad Z. 5 Fujiwara, Kazumasa 5 Grujić, Zoran 5 Guo, Zihua 5 Ishiwata, Michinori 5 Jin, Bum Ja 5 Kurokiba, Masaki 5 Masmoudi, Nader 5 Merle, Frank 5 Nakamura, Makoto 5 Nakanishi, Kenji 5 Pastor, Ademir 5 Sugiyama, Yoshie 5 Suzuki, Takashi 5 Tzvetkov, Nikolay 5 Wakui, Hiroshi 5 Xu, Runzhang 5 Yamada, Tetsuya 5 Zienkiewicz, Jacek 4 Amorim, Paulo 4 Burq, Nicolas 4 Dodson, Benjamin G. 4 Farwig, Reinhard 4 Gerard, Patrick 4 Huh, Hyungjin 4 Kawakami, Tatsuki 4 Kurganov, Alexander 4 Li, Fucai 4 Li, Xiaoguang 4 Lin, Chikun 4 Liu, Chun 4 Lu, Jing 4 Ma, Li 4 Nawa, Hayato 4 Petronilho, Gerson 4 Saanouni, Tarek 4 Samet, Bessem 4 Shu, Ji 4 Takamura, Hiroyuki ...and 669 more Authors
all top 5

#### Cited in 149 Serials

 87 Journal of Differential Equations 77 Journal of Mathematical Analysis and Applications 67 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Journal of Functional Analysis 26 Communications on Pure and Applied Analysis 23 Mathematical Methods in the Applied Sciences 22 Journal of Mathematical Physics 20 Nonlinear Analysis. Real World Applications 20 Journal of Evolution Equations 17 Discrete and Continuous Dynamical Systems 15 Applicable Analysis 14 Archive for Rational Mechanics and Analysis 14 Communications in Mathematical Physics 14 Proceedings of the American Mathematical Society 14 Communications in Partial Differential Equations 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Mathematische Annalen 11 NoDEA. Nonlinear Differential Equations and Applications 10 Computers & Mathematics with Applications 10 Applied Mathematics and Computation 10 Applied Mathematics Letters 8 Mathematische Nachrichten 8 Calculus of Variations and Partial Differential Equations 8 Journal of Mathematical Fluid Mechanics 7 Mathematische Zeitschrift 7 Abstract and Applied Analysis 7 Acta Mathematica Sinica. English Series 7 Communications in Contemporary Mathematics 7 Annales Henri Poincaré 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 6 Discrete and Continuous Dynamical Systems. Series B 5 The Journal of Fourier Analysis and Applications 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Computational Physics 4 Advances in Mathematics 4 Manuscripta Mathematica 4 Osaka Journal of Mathematics 4 Proceedings of the Japan Academy. Series A 4 SIAM Journal on Mathematical Analysis 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Hyperbolic Differential Equations 4 Boundary Value Problems 4 Nonlinear Analysis. Theory, Methods & Applications 3 Nonlinearity 3 Acta Mathematica 3 Annales Polonici Mathematici 3 Archiv der Mathematik 3 Journal of the Mathematical Society of Japan 3 Asymptotic Analysis 3 Journal of Dynamics and Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Inequalities and Applications 3 Journal of Applied Mathematics 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 Advances in Nonlinear Analysis 2 Communications on Pure and Applied Mathematics 2 Mathematical Notes 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Monatshefte für Mathematik 2 Tohoku Mathematical Journal. Second Series 2 Tokyo Journal of Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of the American Mathematical Society 2 Science in China. Series A 2 The Journal of Geometric Analysis 2 Journal of Nonlinear Science 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Revista Matemática Complutense 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 Differential Equations and Applications 2 International Journal of Differential Equations 2 Science China. Mathematics 2 ISRN Mathematical Analysis 2 Evolution Equations and Control Theory 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Lithuanian Mathematical Journal 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin de la Société Mathématique de France 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics ...and 49 more Serials
all top 5

#### Cited in 37 Fields

 789 Partial differential equations (35-XX) 283 Fluid mechanics (76-XX) 49 Biology and other natural sciences (92-XX) 38 Functional analysis (46-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Quantum theory (81-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 24 Operator theory (47-XX) 23 Real functions (26-XX) 20 Dynamical systems and ergodic theory (37-XX) 19 Numerical analysis (65-XX) 18 Optics, electromagnetic theory (78-XX) 11 Mechanics of deformable solids (74-XX) 10 Functions of a complex variable (30-XX) 10 Ordinary differential equations (34-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Geophysics (86-XX) 7 Probability theory and stochastic processes (60-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Special functions (33-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX)