Global existence of solutions to a wave equation with damping and source terms
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Publication:1848338
zbMath1018.35053MaRDI QIDQ1848338
Publication date: 13 March 2003
Published in: Differential and Integral Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)
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Global existence and energy decay estimate of solutions for a class of nonlinear higher-order wave equation with general nonlinear dissipation and source term ⋮ Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term ⋮ Existence and asymptotic stability for evolution problems on manifolds with damping and source terms. ⋮ On the solvability of one multidimensional version of the first Darboux problem for some nonlinear wave equations ⋮ Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary ⋮ Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms
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