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

Alessandro Palmieri; Hiroyuki Takamura

doi:10.1007/s00030-020-00662-8

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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Nonexistence of Global Solutions for a Weakly Coupled System of Semilinear Damped Wave Equations of Derivative Type in the Scattering Case

Mediterranean Journal of Mathematics ◽

10.1007/s00009-019-1445-4 ◽

2019 ◽

Vol 17 (1) ◽

Cited By ~ 5

Author(s):

Alessandro Palmieri ◽

Hiroyuki Takamura

Keyword(s):

Wave Equations ◽

Global Solutions ◽

Coupled System ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Derivative Type

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Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations

Conference Publications 2009 ◽

10.3934/proc.2009.2009.592 ◽

2009 ◽

Cited By ~ 3

Keyword(s):

Cauchy Problem ◽

Wave Equations ◽

Global Solutions ◽

Coupled System ◽

Weakly Coupled ◽

Weakly Coupled System ◽

The Cauchy Problem

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Existence of global solutions for a weakly coupled system of semilinear viscoelastic damped $\sigma$-evolution equations

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj.2020.50.527 ◽

2020 ◽

Vol 50 (2) ◽

pp. 527-542 ◽

Cited By ~ 1

Author(s):

Tuan Anh Dao

Keyword(s):

Evolution Equations ◽

Global Solutions ◽

Coupled System ◽

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 ◽

Cited By ~ 6

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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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 ◽

Cited By ~ 3

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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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 ◽

Cited By ~ 6

Author(s):

Alessandro Palmieri ◽

Hiroyuki Takamura

Keyword(s):

Wave Equations ◽

Blow Up ◽

Coupled System ◽

Weakly Coupled ◽

Weakly Coupled System

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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 ◽

Cited By ~ 1

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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Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1112-4 ◽

2019 ◽

Vol 70 (2) ◽

Cited By ~ 2

Author(s):

Wenhui Chen ◽

Alessandro Palmieri

Keyword(s):

Wave Equations ◽

Linear Part ◽

Coupled System ◽

Scale Invariant ◽

Semilinear Wave Equations ◽

Weakly Coupled ◽

Weakly Coupled System

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The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf01003556 ◽

1995 ◽

Vol 46 (3) ◽

pp. 366-383 ◽

Cited By ~ 14

Author(s):

Yoshitaka Uda

Keyword(s):

Critical Exponent ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Type Reaction ◽

Weakly Coupled ◽

Weakly Coupled System

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