Global existence of solutions for semilinear damped wave equation in 2-D exterior domain
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Publication:1880748
DOI10.1016/j.jde.2003.08.009zbMath1053.35105OpenAlexW1965782493MaRDI QIDQ1880748
Publication date: 1 October 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2003.08.009
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)
Related Items (11)
A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain ⋮ Blow-up for semilinear wave equations with time-dependent damping in an exterior domain ⋮ On global existence for semilinear wave equations with space-dependent critical damping ⋮ Weighted energy method for semilinear wave equations with time-dependent damping ⋮ Classical solution of the second mixed problem for the telegraph equation with a nonlinear potential ⋮ Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball ⋮ Classical and mild solution of the first mixed problem for the telegraph equation with a nonlinear potential ⋮ Critical exponent for semilinear damped wave equations in the \(N\)-dimensional half space. ⋮ Finite time blow-up for a kind of initial-boundary value problem of semilinear damped wave equation ⋮ Two dimensional exterior mixed problem for semilinear damped wave equations ⋮ ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS
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