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## Takamura, Hiroyuki

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 Author ID: takamura.hiroyuki Published as: Takamura, H.; Takamura, Hiroyuki
 Documents Indexed: 38 Publications since 1992
all top 5

#### Co-Authors

 11 single-authored 12 Wakasa, Kyouhei 6 Lai, Ning-An 4 Kurokawa, Yuki 3 Agemi, Rentaro 3 Kato, Masakazu 3 Palmieri, Alessandro 3 Uesaka, Hiroshi 2 Imai, Takuto 2 Schiavone, Nico Michele 1 Georgiev, Vladimir S. 1 Kubota, Kôji 1 Ohta, Masahito 1 Rammaha, Mohammad A. 1 Yi, Zhou
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#### Serials

 7 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Differential and Integral Equations 2 Hokkaido Mathematical Journal 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Nonlinear Analysis. Theory, Methods & Applications 1 Mathematical Methods in the Applied Sciences 1 Mathematische Zeitschrift 1 Tsukuba Journal of Mathematics 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Advances in Mathematical Sciences and Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Mediterranean Journal of Mathematics

#### Fields

 37 Partial differential equations (35-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH

31 Publications have been cited 222 times in 98 Documents Cited by Year
Critical curve for $$p$$-$$q$$ systems of nonlinear wave equations in three space dimensions. Zbl 0977.35077
Agemi, Rentaro; Kurokawa, Yuki; Takamura, Hiroyuki
2000
The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions. Zbl 1230.35069
Takamura, Hiroyuki; Wakasa, Kyouhei
2011
Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent. Zbl 1411.35206
Lai, Ning-An; Takamura, Hiroyuki; Wakasa, Kyouhei
2017
Improved Kato’s lemma on ordinary differential inequality and its application to semilinear wave equations. Zbl 1329.35211
Takamura, Hiroyuki
2015
Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case. Zbl 1395.35045
Lai, Ning-An; Takamura, Hiroyuki
2018
The lifespan of solutions to nonlinear systems of a high-dimensional wave equation. Zbl 1094.35075
Georgiev, Vladimir; Takamura, Hiroyuki; Yi, Zhou
2006
An elementary proof of the exponential blow-up for semi-linear wave equations. Zbl 0802.35098
Takamura, Hiroyuki
1994
Blow-up for semilinear wave equations with slowly decaying data in high dimensions. Zbl 0848.35017
Takamura, Hiroyuki
1995
The lifespan of classical solutions to nonlinear wave equations in two space dimensions. Zbl 0782.35040
Agemi, Rentaro; Takamura, Hiroyuki
1992
A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems. Zbl 1149.35384
Kurokawa, Yuki; Takamura, Hiroyuki
2003
Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey’s conjecture. Zbl 1424.35254
Lai, Ning-An; Takamura, Hiroyuki
2019
The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions. Zbl 1265.35208
Kurokawa, Y.; Takamura, H.; Wakasa, K.
2012
Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities. Zbl 1437.35462
Palmieri, Alessandro; Takamura, Hiroyuki
2019
Almost global solutions of semilinear wave equations with the critical exponent in high dimensions. Zbl 1297.35140
Takamura, Hiroyuki; Wakasa, Kyouhei
2014
The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions. Zbl 1441.35171
Imai, Takuto; Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei
2019
Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity. Zbl 1415.35203
Lai, Ning-An; Takamura, Hiroyuki
2019
Remarks on the blow-up boundaries and rates for nonlinear wave equations. Zbl 0932.35150
Ohta, Masahito; Takamura, Hiroyuki
1998
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. Zbl 1439.35338
Palmieri, Alessandro; Takamura, Hiroyuki
2020
Blow-up theorem for semilinear wave equations with non-zero initial position. Zbl 1204.35056
Takamura, Hiroyuki; Uesaka, Hiroshi; Wakasa, Kyouhei
2010
Blow-up for semilinear wave equations in four or five space dimensions. Zbl 0814.35078
Takamura, Hiroyuki
1995
On certain integral equations related to nonlinear wave equations. Zbl 0804.45001
Agemi, Rentaro; Kubota, Kôji; Takamura, Hiroyuki
1994
Global existence for nonlinear wave equations with small data of noncompact support in three space dimensions. Zbl 0757.35046
Takamura, Hiroyuki
1992
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension. Zbl 07144908
Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei
2019
Blow up for semilinear wave equations with a data of the critical decay having a small loss. Zbl 1069.35046
Kurokawa, Yuki; Takamura, Hiroyuki
2003
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions. Zbl 1442.35262
Imai, Takuto; Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei
2020
Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term. Zbl 1428.35227
Lai, Ning-An; Schiavone, Nico Michele; Takamura, Hiroyuki
2019
Global existence for semilinear wave equations with the critical blow-up term in high dimensions. Zbl 1338.35300
Takamura, Hiroyuki; Wakasa, Kyouhei
2016
Blow-up of positive solutions to wave equations in high space dimensions. Zbl 1363.35251
Rammaha, Mohammad; Takamura, Hiroyuki; Uesaka, Hiroshi; Wakasa, Kyouhei
2016
Nonexistence of global solutions to semilinear wave equations. Zbl 0973.35137
Takamura, Hiroyuki
1997
Nonexistence of global solutions to semilinear wave equations. Zbl 0888.35071
Takamura, Hiroyuki
1997
Blow-up for nonlinear wave equations with slowly decaying data. Zbl 0814.35077
Takamura, Hiroyuki
1994
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. Zbl 1439.35338
Palmieri, Alessandro; Takamura, Hiroyuki
2020
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions. Zbl 1442.35262
Imai, Takuto; Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei
2020
Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey’s conjecture. Zbl 1424.35254
Lai, Ning-An; Takamura, Hiroyuki
2019
Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities. Zbl 1437.35462
Palmieri, Alessandro; Takamura, Hiroyuki
2019
The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions. Zbl 1441.35171
Imai, Takuto; Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei
2019
Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity. Zbl 1415.35203
Lai, Ning-An; Takamura, Hiroyuki
2019
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension. Zbl 07144908
Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei
2019
Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term. Zbl 1428.35227
Lai, Ning-An; Schiavone, Nico Michele; Takamura, Hiroyuki
2019
Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case. Zbl 1395.35045
Lai, Ning-An; Takamura, Hiroyuki
2018
Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent. Zbl 1411.35206
Lai, Ning-An; Takamura, Hiroyuki; Wakasa, Kyouhei
2017
Global existence for semilinear wave equations with the critical blow-up term in high dimensions. Zbl 1338.35300
Takamura, Hiroyuki; Wakasa, Kyouhei
2016
Blow-up of positive solutions to wave equations in high space dimensions. Zbl 1363.35251
Rammaha, Mohammad; Takamura, Hiroyuki; Uesaka, Hiroshi; Wakasa, Kyouhei
2016
Improved Kato’s lemma on ordinary differential inequality and its application to semilinear wave equations. Zbl 1329.35211
Takamura, Hiroyuki
2015
Almost global solutions of semilinear wave equations with the critical exponent in high dimensions. Zbl 1297.35140
Takamura, Hiroyuki; Wakasa, Kyouhei
2014
The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions. Zbl 1265.35208
Kurokawa, Y.; Takamura, H.; Wakasa, K.
2012
The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions. Zbl 1230.35069
Takamura, Hiroyuki; Wakasa, Kyouhei
2011
Blow-up theorem for semilinear wave equations with non-zero initial position. Zbl 1204.35056
Takamura, Hiroyuki; Uesaka, Hiroshi; Wakasa, Kyouhei
2010
The lifespan of solutions to nonlinear systems of a high-dimensional wave equation. Zbl 1094.35075
Georgiev, Vladimir; Takamura, Hiroyuki; Yi, Zhou
2006
A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems. Zbl 1149.35384
Kurokawa, Yuki; Takamura, Hiroyuki
2003
Blow up for semilinear wave equations with a data of the critical decay having a small loss. Zbl 1069.35046
Kurokawa, Yuki; Takamura, Hiroyuki
2003
Critical curve for $$p$$-$$q$$ systems of nonlinear wave equations in three space dimensions. Zbl 0977.35077
Agemi, Rentaro; Kurokawa, Yuki; Takamura, Hiroyuki
2000
Remarks on the blow-up boundaries and rates for nonlinear wave equations. Zbl 0932.35150
Ohta, Masahito; Takamura, Hiroyuki
1998
Nonexistence of global solutions to semilinear wave equations. Zbl 0973.35137
Takamura, Hiroyuki
1997
Nonexistence of global solutions to semilinear wave equations. Zbl 0888.35071
Takamura, Hiroyuki
1997
Blow-up for semilinear wave equations with slowly decaying data in high dimensions. Zbl 0848.35017
Takamura, Hiroyuki
1995
Blow-up for semilinear wave equations in four or five space dimensions. Zbl 0814.35078
Takamura, Hiroyuki
1995
An elementary proof of the exponential blow-up for semi-linear wave equations. Zbl 0802.35098
Takamura, Hiroyuki
1994
On certain integral equations related to nonlinear wave equations. Zbl 0804.45001
Agemi, Rentaro; Kubota, Kôji; Takamura, Hiroyuki
1994
Blow-up for nonlinear wave equations with slowly decaying data. Zbl 0814.35077
Takamura, Hiroyuki
1994
The lifespan of classical solutions to nonlinear wave equations in two space dimensions. Zbl 0782.35040
Agemi, Rentaro; Takamura, Hiroyuki
1992
Global existence for nonlinear wave equations with small data of noncompact support in three space dimensions. Zbl 0757.35046
Takamura, Hiroyuki
1992
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#### Cited by 76 Authors

 18 Takamura, Hiroyuki 15 Wakasa, Kyouhei 9 Zhou, Yi 7 Ikeda, Masahiro 7 Lai, Ning-An 7 Palmieri, Alessandro 6 Han, Wei 6 Kubo, Hideo 6 Wang, Chengbo 5 Sobajima, Motohiro 4 Chen, Wenhui 4 Hidano, Kunio 4 Reissig, Michael 4 Tsutaya, Kimitoshi 4 Wakasugi, Yuta 3 Kurokawa, Yuki 3 Ohta, Masahito 3 Yordanov, Borislav T. 2 D’Abbicco, Marcello 2 Dai, Wei 2 Deng, Keng 2 Fang, Daoyuan 2 Georgiev, Vladimir S. 2 Kato, Masakazu 2 Kubota, Kôji 2 Liu, Mengyun 2 Ogawa, Takayoshi 2 Ozawa, Tohru 2 Sunagawa, Hideaki 2 Takeda, Hiroshi 2 Tanaka, Tomoyuki 2 Tu, Ziheng 2 Yokoyama, Kazuyoshi 2 Zha, Dongbing 1 Agemi, Rentaro 1 Di Flaviano, Mariagrazia 1 Galakhov, Evgeniĭ Igorevich 1 Gao, Wei 1 Girardi, G. A. 1 Girardi, Giovanni 1 Imai, Takuto 1 Inui, Takahisa 1 Ishiwata, Tetsuya 1 Karageorgis, Paschalis 1 Kato, Jun 1 Kirane, Mokhtar 1 Kong, Dexing 1 Lei, Qian 1 Levine, Howard Allen 1 Li, Hengyan 1 Li, Xintao 1 Liu, Qi 1 Lucente, Sandra 1 Luo, Xiuwen 1 Metcalfe, Jason L. 1 Mitidieri, Enzo Luigi 1 Nakamura, Makoto 1 Nakanishi, Kenji 1 Nishihara, Kenji 1 Pokhozhaev, Stanislav I. 1 Said-Houari, Belkacem 1 Sakuraba, Miku 1 Sasaki, Takiko 1 Schiavone, Nico Michele 1 Spencer, David 1 Takamura, Shigeru 1 Todorova, Grozdena Hr. 1 Uesaka, Hiroshi 1 Yagdjian, Karen 1 Yan, Weiping 1 Yang, Han 1 Yang, Lu 1 Yi, Zhou 1 Yoshino, Masafumi 1 Zhang, Qidi 1 Zhou, Hao
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#### Cited in 30 Serials

 21 Journal of Differential Equations 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Mathematical Analysis and Applications 5 Chinese Annals of Mathematics. Series B 4 Mathematische Annalen 4 Discrete and Continuous Dynamical Systems 4 Communications on Pure and Applied Analysis 3 Communications in Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Nonlinear Analysis. Theory, Methods & Applications 2 Proceedings of the American Mathematical Society 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Illinois Journal of Mathematics 1 Mathematische Zeitschrift 1 Proceedings of the Japan Academy. Series A 1 Transactions of the American Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Applied Mathematics. Series B (English Edition) 1 Soft Computing 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics
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#### Cited in 12 Fields

 97 Partial differential equations (35-XX) 5 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)