Edit Profile Takamura, Hiroyuki Compute Distance To: Compute 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0977.35077Agemi, Rentaro; Kurokawa, Yuki; Takamura, Hiroyuki 26 2000 The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions. Zbl 1230.35069Takamura, Hiroyuki; Wakasa, Kyouhei 25 2011 Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent. Zbl 1411.35206Lai, Ning-An; Takamura, Hiroyuki; Wakasa, Kyouhei 23 2017 Improved Kato’s lemma on ordinary differential inequality and its application to semilinear wave equations. Zbl 1329.35211Takamura, Hiroyuki 16 2015 Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case. Zbl 1395.35045Lai, Ning-An; Takamura, Hiroyuki 15 2018 The lifespan of solutions to nonlinear systems of a high-dimensional wave equation. Zbl 1094.35075Georgiev, Vladimir; Takamura, Hiroyuki; Yi, Zhou 15 2006 An elementary proof of the exponential blow-up for semi-linear wave equations. Zbl 0802.35098Takamura, Hiroyuki 11 1994 Blow-up for semilinear wave equations with slowly decaying data in high dimensions. Zbl 0848.35017Takamura, Hiroyuki 10 1995 The lifespan of classical solutions to nonlinear wave equations in two space dimensions. Zbl 0782.35040Agemi, Rentaro; Takamura, Hiroyuki 10 1992 A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems. Zbl 1149.35384Kurokawa, Yuki; Takamura, Hiroyuki 9 2003 Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey’s conjecture. Zbl 1424.35254Lai, Ning-An; Takamura, Hiroyuki 7 2019 The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions. Zbl 1265.35208Kurokawa, Y.; Takamura, H.; Wakasa, K. 7 2012 Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities. Zbl 1437.35462Palmieri, Alessandro; Takamura, Hiroyuki 5 2019 Almost global solutions of semilinear wave equations with the critical exponent in high dimensions. Zbl 1297.35140Takamura, Hiroyuki; Wakasa, Kyouhei 5 2014 The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions. Zbl 1441.35171Imai, Takuto; Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei 4 2019 Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity. Zbl 1415.35203Lai, Ning-An; Takamura, Hiroyuki 4 2019 Remarks on the blow-up boundaries and rates for nonlinear wave equations. Zbl 0932.35150Ohta, Masahito; Takamura, Hiroyuki 4 1998 Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. Zbl 1439.35338Palmieri, Alessandro; Takamura, Hiroyuki 3 2020 Blow-up theorem for semilinear wave equations with non-zero initial position. Zbl 1204.35056Takamura, Hiroyuki; Uesaka, Hiroshi; Wakasa, Kyouhei 3 2010 Blow-up for semilinear wave equations in four or five space dimensions. Zbl 0814.35078Takamura, Hiroyuki 3 1995 On certain integral equations related to nonlinear wave equations. Zbl 0804.45001Agemi, Rentaro; Kubota, Kôji; Takamura, Hiroyuki 3 1994 Global existence for nonlinear wave equations with small data of noncompact support in three space dimensions. Zbl 0757.35046Takamura, Hiroyuki 3 1992 The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension. Zbl 07144908Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei 2 2019 Blow up for semilinear wave equations with a data of the critical decay having a small loss. Zbl 1069.35046Kurokawa, Yuki; Takamura, Hiroyuki 2 2003 The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions. Zbl 1442.35262Imai, Takuto; Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei 1 2020 Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term. Zbl 1428.35227Lai, Ning-An; Schiavone, Nico Michele; Takamura, Hiroyuki 1 2019 Global existence for semilinear wave equations with the critical blow-up term in high dimensions. Zbl 1338.35300Takamura, Hiroyuki; Wakasa, Kyouhei 1 2016 Blow-up of positive solutions to wave equations in high space dimensions. Zbl 1363.35251Rammaha, Mohammad; Takamura, Hiroyuki; Uesaka, Hiroshi; Wakasa, Kyouhei 1 2016 Nonexistence of global solutions to semilinear wave equations. Zbl 0973.35137Takamura, Hiroyuki 1 1997 Nonexistence of global solutions to semilinear wave equations. Zbl 0888.35071Takamura, Hiroyuki 1 1997 Blow-up for nonlinear wave equations with slowly decaying data. Zbl 0814.35077Takamura, Hiroyuki 1 1994 Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. Zbl 1439.35338Palmieri, Alessandro; Takamura, Hiroyuki 3 2020 The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions. Zbl 1442.35262Imai, Takuto; Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei 1 2020 Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey’s conjecture. Zbl 1424.35254Lai, Ning-An; Takamura, Hiroyuki 7 2019 Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities. Zbl 1437.35462Palmieri, Alessandro; Takamura, Hiroyuki 5 2019 The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions. Zbl 1441.35171Imai, Takuto; Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei 4 2019 Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity. Zbl 1415.35203Lai, Ning-An; Takamura, Hiroyuki 4 2019 The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension. Zbl 07144908Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei 2 2019 Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term. Zbl 1428.35227Lai, Ning-An; Schiavone, Nico Michele; Takamura, Hiroyuki 1 2019 Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case. Zbl 1395.35045Lai, Ning-An; Takamura, Hiroyuki 15 2018 Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent. Zbl 1411.35206Lai, Ning-An; Takamura, Hiroyuki; Wakasa, Kyouhei 23 2017 Global existence for semilinear wave equations with the critical blow-up term in high dimensions. Zbl 1338.35300Takamura, Hiroyuki; Wakasa, Kyouhei 1 2016 Blow-up of positive solutions to wave equations in high space dimensions. Zbl 1363.35251Rammaha, Mohammad; Takamura, Hiroyuki; Uesaka, Hiroshi; Wakasa, Kyouhei 1 2016 Improved Kato’s lemma on ordinary differential inequality and its application to semilinear wave equations. Zbl 1329.35211Takamura, Hiroyuki 16 2015 Almost global solutions of semilinear wave equations with the critical exponent in high dimensions. Zbl 1297.35140Takamura, Hiroyuki; Wakasa, Kyouhei 5 2014 The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions. Zbl 1265.35208Kurokawa, Y.; Takamura, H.; Wakasa, K. 7 2012 The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions. Zbl 1230.35069Takamura, Hiroyuki; Wakasa, Kyouhei 25 2011 Blow-up theorem for semilinear wave equations with non-zero initial position. Zbl 1204.35056Takamura, Hiroyuki; Uesaka, Hiroshi; Wakasa, Kyouhei 3 2010 The lifespan of solutions to nonlinear systems of a high-dimensional wave equation. Zbl 1094.35075Georgiev, Vladimir; Takamura, Hiroyuki; Yi, Zhou 15 2006 A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems. Zbl 1149.35384Kurokawa, Yuki; Takamura, Hiroyuki 9 2003 Blow up for semilinear wave equations with a data of the critical decay having a small loss. Zbl 1069.35046Kurokawa, Yuki; Takamura, Hiroyuki 2 2003 Critical curve for \(p\)-\(q\) systems of nonlinear wave equations in three space dimensions. Zbl 0977.35077Agemi, Rentaro; Kurokawa, Yuki; Takamura, Hiroyuki 26 2000 Remarks on the blow-up boundaries and rates for nonlinear wave equations. Zbl 0932.35150Ohta, Masahito; Takamura, Hiroyuki 4 1998 Nonexistence of global solutions to semilinear wave equations. Zbl 0973.35137Takamura, Hiroyuki 1 1997 Nonexistence of global solutions to semilinear wave equations. Zbl 0888.35071Takamura, Hiroyuki 1 1997 Blow-up for semilinear wave equations with slowly decaying data in high dimensions. Zbl 0848.35017Takamura, Hiroyuki 10 1995 Blow-up for semilinear wave equations in four or five space dimensions. Zbl 0814.35078Takamura, Hiroyuki 3 1995 An elementary proof of the exponential blow-up for semi-linear wave equations. Zbl 0802.35098Takamura, Hiroyuki 11 1994 On certain integral equations related to nonlinear wave equations. Zbl 0804.45001Agemi, Rentaro; Kubota, Kôji; Takamura, Hiroyuki 3 1994 Blow-up for nonlinear wave equations with slowly decaying data. Zbl 0814.35077Takamura, Hiroyuki 1 1994 The lifespan of classical solutions to nonlinear wave equations in two space dimensions. Zbl 0782.35040Agemi, Rentaro; Takamura, Hiroyuki 10 1992 Global existence for nonlinear wave equations with small data of noncompact support in three space dimensions. Zbl 0757.35046Takamura, Hiroyuki 3 1992 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year