A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations

Nonlinearity ◽

10.1088/0951-7715/25/9/2759 ◽

2012 ◽

Vol 25 (9) ◽

pp. 2759-2773 ◽

Author(s):

M A Hamza ◽

H Zaag

Keyword(s):

Lyapunov Functional ◽

Wave Equations ◽

Blow Up ◽

Semilinear Wave Equations

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Existence, blow-up, and exponential decay estimates for a system of semilinear wave equations associated with the helicalflows of Maxwell fluid

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3643 ◽

2015 ◽

Vol 39 (9) ◽

pp. 2334-2357

Author(s):

Le Thi Phuong Ngoc ◽

Cao Huu Hoa ◽

Nguyen Thanh Long

Keyword(s):

Exponential Decay ◽

Wave Equations ◽

Blow Up ◽

Maxwell Fluid ◽

Decay Estimates ◽

Semilinear Wave Equations

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The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, I

Calculus of Variations and Partial Differential Equations ◽

10.1007/pl00009924 ◽

2001 ◽

Vol 13 (1) ◽

pp. 69-95 ◽

Author(s):

Paul Godin

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

Semilinear Wave Equations ◽

Mixed Problems ◽

One Space Dimension

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The Blow-Up Rate for Strongly Perturbed Semilinear Wave Equations in the Conformal Case

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-015-9183-8 ◽

2015 ◽

Vol 18 (1) ◽

Author(s):

M. A. Hamza ◽

O. Saidi

Keyword(s):

Wave Equations ◽

Blow Up ◽

Semilinear Wave Equations ◽

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Blow-up for semilinear wave equations with time-dependent damping in an exterior domain

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020143 ◽

2020 ◽

Vol 19 (7) ◽

pp. 3885-3900

Author(s):

Mohamed Jleli ◽

◽

Bessem Samet

Keyword(s):

Exterior Domain ◽

Wave Equations ◽

Blow Up ◽

Time Dependent ◽

Semilinear Wave Equations

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Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping

The Role of Metrics in the Theory of Partial Differential Equations ◽

10.2969/aspm/08510391 ◽

2020 ◽

Author(s):

Ning-An Lai ◽

Nico Michele Schiavone ◽

Hiroyuki Takamura

Keyword(s):

Wave Equations ◽

Blow Up ◽

Mass Term ◽

Negative Mass ◽

Semilinear Wave Equations ◽

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Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime

SN Partial Differential Equations and Applications ◽

10.1007/s42985-021-00145-0 ◽

2021 ◽

Vol 3 (1) ◽

Author(s):

Kimitoshi Tsutaya ◽

Yuta Wakasugi

Keyword(s):

Nonlinear Waves ◽

Wave Equations ◽

Blow Up ◽

De Sitter Spacetime ◽

De Sitter ◽

Semilinear Wave Equations ◽

Sitter Spacetime

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Global Existence and Blow-up for Semilinear Wave Equations with Variable Coefficients

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-018-0087-3 ◽

2018 ◽

Vol 39 (4) ◽

pp. 643-664

Author(s):

Qian Lei ◽

Han Yang

Keyword(s):

Global Existence ◽

Wave Equations ◽

Blow Up ◽

Variable Coefficients ◽

Semilinear Wave Equations

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Blow-up for a coupled system of semilinear wave equations with scattering dampings and combined nonlinearities

Applicable Analysis ◽

10.1080/00036811.2020.1834086 ◽

2020 ◽

pp. 1-21

Author(s):

Sen Ming ◽

Shaoyong Lai ◽

Xiongmei Fan

Keyword(s):

Wave Equations ◽

Blow Up ◽

Coupled System ◽

Semilinear Wave Equations

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Blow-up theorem for semilinear wave equations with non-zero initial position

Journal of Differential Equations ◽

10.1016/j.jde.2010.01.010 ◽

2010 ◽

Vol 249 (4) ◽

pp. 914-930 ◽

Author(s):

Hiroyuki Takamura ◽

Hiroshi Uesaka ◽

Kyouhei Wakasa

Keyword(s):

Wave Equations ◽

Blow Up ◽

Initial Position ◽

Semilinear Wave Equations

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Blow-up behavior for the Klein–Gordon and other perturbed semilinear wave equations

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2013.05.004 ◽

2013 ◽

Vol 137 (8) ◽

pp. 1087-1109 ◽

Author(s):

M.A. Hamza ◽

H. Zaag

Keyword(s):

Wave Equations ◽

Blow Up ◽

Semilinear Wave Equations ◽

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