Golbal nonexistence in a nonlinearly damped wave equation

DOI10.1080/00036810108840993zbMath1029.35179OpenAlexW2020692468WikidataQ58139200 ScholiaQ58139200MaRDI QIDQ3152191

Messaoudi A. Salim

Publication date: 22 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840993

zbMATH Keywords

semilinear wave equationDirichlet boundary conditionssufficiently negative initial energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70)

Related Items (5)

Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms ⋮ On the solution behavior of a nonlinear time-fractional Klein-Gordon equation: theoretical study and numerical validation ⋮ Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source ⋮ Blow-up of solutions for wave equations with strong damping and variable-exponent nonlinearity ⋮ Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms

Cites Work

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• Decay estimates for some semilinear damped hyperbolic problems
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Global nonexistence theorems for a class of evolution equations with dissipation
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

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