Growth of solutions with positive initial energy to systems of nonlinear wave equations with damping and source terms

DOI10.1155/2015/523254zbMath1338.35054OpenAlexW2020499614WikidataQ59102501 ScholiaQ59102501MaRDI QIDQ277802

Erhan Pişkin

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/523254

zbMATH Keywords

large initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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Cites Work

• Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms
• Exponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
• General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions
• Blow-up and polynomial decay of solutions for a viscoelastic equation with a nonlinear source
• Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
• Existence and nonexistence of a global solution for coupled nonlinear wave equations with damping and source
• Saddle points and instability of nonlinear hyperbolic equations
• Global nonexistence theorems for a class of evolution equations with dissipation
• Existence and decay estimate of global solutions to systems of nonlinear wave equations with damping and source terms
• Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions
• General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
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