scientific article; zbMATH DE number 1547175

zbMath0963.35127MaRDI QIDQ4522573

Patrick Martinez, Judith Vancostenoble

Publication date: 25 March 2001

Full work available at URL: https://eudml.org/doc/48777

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

weak dampingsemilinear damped wave equationstrong asymptotic stabilityexplicit rate of the decay to zero of any solutionpartition of the domainrate of growth at infinity

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items

Strong and Exponential Stabilization for a Class of Second Order Semilinear Systems, Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects, A one-step optimal energy decay formula for indirectly nonlinearly damped hyperbolic systems coupled by velocities, Strong lower energy estimates for nonlinearly damped Timoshenko beams and Petrowsky equations, Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings, Weak Input to State Estimates for 2D Damped Wave Equations with Localized and Nonlinear Damping, \(L^p\)-asymptotic stability analysis of a 1D wave equation with a nonlinear damping, Stabilisation of second-order bilinear and semilinear systems, Precise decay rate estimates for time-dependent dissipative systems, L^p-asymptotic stability of 1D damped wave equations with localized and linear damping