Existence for a nonlinear wave equation with damping and source terms.

From MaRDI portal
Publication:1413555

zbMath1036.35146MaRDI QIDQ1413555

Enzo Vitillaro, Grozdena Todorova, James Serrin

Publication date: 17 November 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (36)

Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source termsGlobal existence to the initial-boundary value problem for a system of semilinear wave equationsGeneral decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear dampingOn the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sourcesOptimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditionsWell-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sourcesNonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearitiesGlobal existence, uniform decay and blow-up of solutions for a system of Petrovsky equationsLocal and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and dampingOn the existence and decay of solution for viscoelastic wave equation with nonlinear source in weighted spacesGeneral decay rates for the wave equation with mixed-type damping mechanisms on unbounded domain with finite measureGlobal existence for the wave equation with nonlinear boundary damping and source termsWave equations with super-critical interior and boundary nonlinearitiesExponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source termsRETRACTED ARTICLE: Global existence and general decay estimates of solutions of the degenerate or non-degenerate Kirchhoff equation with general dissipationThe blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensionsRegularity of higher energies of wave equation with nonlinear localized damping and a nonlinear sourceGlobal well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearityOn the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and sourceYoung measure solutions for the wave equation with \(p(x, t)\)-Laplacian: existence and blow-upOn nonlinear wave equations with degenerate damping and source termsBlow up for nonlinear dissipative wave equations in \(\mathbb R^n\)Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source termsGlobal existence, asymptotic behavior and blow-up of solutions for coupled Klein-Gordon equations with damping termsThe lifespan for 3D quasilinear wave equations with nonlinear damping termsEnergy decay rates for the semilinear wave equation with nonlinear localized damping and source termsLocal Hadamard well-posedness for nonlinear wave equations with supercritical sources and dampingWell-posedness for the 2-D damped wave equations with exponential source termsThe blow-up rate for a non-scaling invariant semilinear wave equationsGlobal existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and sourceOn existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential sourceBlow-up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sourcesGlobal attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponentGlobal well-posedness for nonlinear wave equations with supercritical source and damping termsOn the regularizing effect of nonlinear damping in hyperbolic equationsExponential stability for the wave equation with degenerate nonlocal weak damping




This page was built for publication: Existence for a nonlinear wave equation with damping and source terms.