Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities

Nonlinear Analysis ◽

10.1016/j.na.2019.06.016 ◽

2019 ◽

Vol 187 ◽

pp. 467-492 ◽

Author(s):

Alessandro Palmieri ◽

Hiroyuki Takamura

Keyword(s):

Wave Equations ◽

Blow Up ◽

Coupled System ◽

Weakly Coupled ◽

Weakly Coupled System

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Blow-up and Large Time Behavior of Solutions of a Weakly Coupled System of Reaction-Diffusion Equations

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496164558 ◽

2003 ◽

Vol 27 (1) ◽

pp. 31-46 ◽

Author(s):

Noriaki Umeda

Keyword(s):

Blow Up ◽

Reaction Diffusion ◽

Coupled System ◽

Large Time Behavior ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Time Behavior ◽

Weakly Coupled ◽

Weakly Coupled System

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Global existence of solutions for a weakly coupled system of semilinear damped wave equations

Journal of Differential Equations ◽

10.1016/j.jde.2015.05.014 ◽

2015 ◽

Vol 259 (8) ◽

pp. 4172-4201 ◽

Author(s):

Kenji Nishihara ◽

Yuta Wakasugi

Keyword(s):

Global Existence ◽

Wave Equations ◽

Existence Of Solutions ◽

Coupled System ◽

Global Existence Of Solutions ◽

Weakly Coupled ◽

Weakly Coupled System

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Blow‐up and lifespan estimates of solutions to the weakly coupled system of semilinear Moore–Gibson–Thompson equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7462 ◽

2021 ◽

Author(s):

Sen Ming ◽

Han Yang ◽

Xiongmei Fan

Keyword(s):

Blow Up ◽

Coupled System ◽

Estimates Of Solutions ◽

Weakly Coupled ◽

Weakly Coupled System

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Small data blow-up for the weakly coupled system of the generalized Tricomi equations with multiple propagation speeds

Journal of Evolution Equations ◽

10.1007/s00028-021-00703-4 ◽

2021 ◽

Author(s):

Masahiro Ikeda ◽

Jiayun Lin ◽

Ziheng Tu

Keyword(s):

Blow Up ◽

Coupled System ◽

Weakly Coupled ◽

Weakly Coupled System

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Blow-up, Life Span and Large Time Behavior of Solutions of a Weakly Coupled System of Reaction-Diffusion Equations

Series on Advances in Mathematics for Applied Sciences - Advances in Nonlinear Partial Differential Equations and Stochastics ◽

10.1142/9789812816481_0006 ◽

1998 ◽

pp. 175-197 ◽

Author(s):

Kiyoshi Mochizuki

Keyword(s):

Life Span ◽

Blow Up ◽

Reaction Diffusion ◽

Coupled System ◽

Large Time Behavior ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Time Behavior ◽

Weakly Coupled ◽

Weakly Coupled System

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Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-020-00662-8 ◽

2020 ◽

Vol 27 (6) ◽

Author(s):

Alessandro Palmieri ◽

Hiroyuki Takamura

Keyword(s):

Wave Equations ◽

Global Solutions ◽

Coupled System ◽

Weakly Coupled ◽

Weakly Coupled System

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A note on a conjecture for the critical curve of a weakly coupled system of semilinear wave equations with scale‐invariant lower order terms

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6412 ◽

2020 ◽

Vol 43 (11) ◽

pp. 6702-6731 ◽

Author(s):

Alessandro Palmieri

Keyword(s):

Lower Order ◽

Wave Equations ◽

Coupled System ◽

Critical Curve ◽

Scale Invariant ◽

Semilinear Wave Equations ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Lower Order Terms

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Remark on a weakly coupled system of nonlinear damped wave equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.03.008 ◽

2015 ◽

Vol 428 (1) ◽

pp. 490-501 ◽

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin ◽

Masayo Tominaga

Keyword(s):

Wave Equations ◽

Coupled System ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Nonlinear Damped Wave Equations

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The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations

Journal of Differential Equations ◽

10.1016/j.jde.2021.06.039 ◽

2021 ◽

Vol 299 ◽

pp. 1-32

Author(s):

Tuan Anh Dao ◽

Michael Reissig

Keyword(s):

Wave Equations ◽

Coupled System ◽

Critical Regularity ◽

Weakly Coupled ◽

Weakly Coupled System

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The Life Span of Blow-up Solutions for a Weakly Coupled System of Reaction-Diffusion Equations

Tokyo Journal of Mathematics ◽

10.3836/tjm/1255958189 ◽

2001 ◽

Vol 24 (2) ◽

pp. 487-498 ◽

Author(s):

Yasumaro KOBAYASHI

Keyword(s):

Life Span ◽

Blow Up ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Weakly Coupled ◽

Weakly Coupled System

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