Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent NA Lai, H Takamura, K Wakasa Journal of Differential Equations 263 (9), 5377-5394, 2017 | 90 | 2017 |
The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions H Takamura, K Wakasa Journal of Differential Equations 251 (4-5), 1157-1171, 2011 | 87 | 2011 |
Critical curve for pq systems of nonlinear wave equations in three space dimensions R Agemi, Y Kurokawa, H Takamura Journal of Differential Equations 167 (1), 87-133, 2000 | 79 | 2000 |
Improved Kato’s lemma on ordinary differential inequality and its application to semilinear wave equations H Takamura Nonlinear Analysis 125, 227-240, 2015 | 59 | 2015 |
Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case NA Lai, H Takamura Nonlinear Analysis 168, 222-237, 2018 | 56 | 2018 |
Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey's conjecture NA Lai, H Takamura | 55 | 2019 |
The lifespan of classical solutions to nonlinear wave equations in two space dimensions R Agemi, H Takamura Hokkaido Mathematical Journal 21 (3), 517-542, 1992 | 51 | 1992 |
Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities A Palmieri, H Takamura Nonlinear Analysis 187, 467-492, 2019 | 40 | 2019 |
Blow-up for semilinear wave equations with slowly decaying data in high dimensions H Takamura | 37 | 1995 |
The lifespan of solutions to nonlinear systems of a high-dimensional wave equation V Georgiev, H Takamura, Z Yi Nonlinear Analysis: Theory, Methods & Applications 64 (10), 2215-2250, 2006 | 35 | 2006 |
Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity NA Lai, H Takamura Nonlinear Analysis: Real World Applications 45, 83-96, 2019 | 32 | 2019 |
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms A Palmieri, H Takamura Nonlinear Differential Equations and Applications NoDEA 27, 1-39, 2020 | 29 | 2020 |
An elementary proof of the exponential blow‐up for semi‐linear wave equations H Takamura Mathematical methods in the applied sciences 17 (4), 239-249, 1994 | 25 | 1994 |
Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma NA Lai, NM Schiavone, H Takamura Journal of Differential Equations 269 (12), 11575-11620, 2020 | 24 | 2020 |
The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions T Imai, M Kato, H Takamura, K Wakasa Asymptotic analysis for nonlinear dispersive and wave equations 81, 31-53, 2019 | 23 | 2019 |
Almost global solutions of semilinear wave equations with the critical exponent in high dimensions H Takamura, K Wakasa Nonlinear Analysis: Theory, Methods & Applications 109, 187-229, 2014 | 23 | 2014 |
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case A Palmieri, H Takamura Mediterranean Journal of Mathematics 17, 1-20, 2020 | 22 | 2020 |
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension M Kato, H Takamura, K Wakasa | 21 | 2019 |
A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems Y Kurokawa, H Takamura Tsukuba journal of mathematics 27 (2), 417-448, 2003 | 21 | 2003 |
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions T Imai, M Kato, H Takamura, K Wakasa Journal of Differential Equations 269 (10), 8387-8424, 2020 | 19 | 2020 |