Global Solvability and Asymptotic Stability for the Wave Equation with Nonlinear Boundary Damping and Source Term

DOI10.1007/3-7643-7401-2_11zbMath1193.35106OpenAlexW294778858MaRDI QIDQ5395536

Marcelo Moreira Cavalcanti, Valéria Neves Domingos Cavalcanti, Juan A. Soriano

Publication date: 31 October 2006

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-7643-7401-2_11

zbMATH Keywords

nonlinear semigroup theory existence, uniqueness regular and weak solutions

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Smoothness and regularity of solutions to PDEs (35B65) Variational methods involving nonlinear operators (47J30) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70) Weak solutions to PDEs (35D30)

Related Items (6)

Blow-up for the wave equation with nonlinear source and boundary damping terms ⋮ Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation ⋮ Wellposedness for a (1+1)-dimensional wave equation with quasilinear boundary condition ⋮ Blow-up for semilinear wave equation with boundary damping and source terms ⋮ The Cauchy problem for an abstract second order ordinary differential equation ⋮ Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term

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