Asymptotic behavior of solutions to semilinear wave equations with dissipative structure

zbMath1163.35441MaRDI QIDQ1030900

Hideo Kubo

Publication date: 3 July 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorwave equationdissipative structure

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)

Related Items (10)

Energy decay for small solutions to semilinear wave equations with weakly dissipative structure ⋮ Global existence for semilinear wave equations with the critical blow-up term in high dimensions ⋮ Almost global solutions of semilinear wave equations with the critical exponent in high dimensions ⋮ The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions ⋮ Remarks on weaker null conditions for two kinds of systems of semilinear wave equations in three space dimensions ⋮ Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions ⋮ Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition ⋮ On Agemi-type structural conditions for a system of semilinear wave equations ⋮ Regularity and scattering for the wave equation with a critical nonlinear damping ⋮ Systems of semilinear wave equations with multiple speeds in two space dimensions and a weaker null condition

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