Global existence and asymptotic behavior of solutions for a class of nonlinear degenerate wave equations

DOI10.1155/2007/19685zbMath1138.35376OpenAlexW2070446323MaRDI QIDQ2477188

Yao-Jun Ye

Publication date: 13 March 2008

Published in: Differential Equations \& Nonlinear Mechanics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128993

zbMATH Keywords

compactness methodpotential welldecay estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Degenerate hyperbolic equations (35L80)

Related Items (8)

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Cites Work

• A difference inequality and its application to nonlinear evolution equations
• Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
• On global solution of nonlinear hyperbolic equations
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