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Hiroyuki Takamura
Hiroyuki Takamura
Mathematical Institute, Tohoku University
Verified email at tohoku.ac.jp
Title
Cited by
Cited by
Year
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
902017
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
872011
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
792000
Improved Kato’s lemma on ordinary differential inequality and its application to semilinear wave equations
H Takamura
Nonlinear Analysis 125, 227-240, 2015
592015
Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case
NA Lai, H Takamura
Nonlinear Analysis 168, 222-237, 2018
562018
Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey's conjecture
NA Lai, H Takamura
552019
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
511992
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
402019
Blow-up for semilinear wave equations with slowly decaying data in high dimensions
H Takamura
371995
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
352006
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
322019
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
292020
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
251994
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
242020
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
232019
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
232014
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
222020
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension
M Kato, H Takamura, K Wakasa
212019
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
212003
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
192020
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