Decay rate estimates for wave equations of memory type with acoustic boundary conditions

From MaRDI portal
Publication:611206

DOI10.1016/J.NA.2010.09.057zbMath1202.35032OpenAlexW2009194578MaRDI QIDQ611206

Sun Hye Park, Jong Yeoul Park

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.057




Related Items (56)

On the asymptotic behavior of a linear viscoelastic fluidGeneral decay for viscoelastic plate equation with \(p\)-Laplacian and time-varying delayA global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditionsA general stability for a von Kármán system with memoryExponential decay rate for a quasilinear von Karman equation of memory type with acoustic boundary conditionsWell-posedness for a class of wave equation with past history and a delayExistence and general decay of a transmission problem for the plate equation with a memory condition on the boundaryUniform stabilization of wave equation with localized damping and acoustic boundary conditionAsymptotic behavior to a von Kármán equations of memory type with acoustic boundary conditionsGeneral decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditionsStabilization for transmission wave-plate equations with acoustic/memory boundary conditionsEnergy decay rates for the semilinear wave equation with memory boundary condition and acoustic boundary conditionsWave equation with viscoelastic acoustic boundary conditions and supercritical source termVariable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay ratesGlobal existence and general decay for a weak viscoelastic equation with acoustic boundary conditions and a logarithmic source termPolynomial stability for wave equations with acoustic boundary conditions and boundary memory dampingLong time behavior of semilinear wave equation with localized interior damping term under acoustic boundary conditionWell‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditionsOn the wave equation with semilinear porous acoustic boundary conditionsGeneral energy decay for a viscoelastic equation of Kirchhoff type with acoustic boundary conditionsArbitrary decay for a von Karman system with memoryUniform general stability of a coupled Volterra integro-differential equations with fading memoriesEnergy decay rates for von Kármán system with memory and boundary feedbackExistence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditionsGeneral decay of solutions of a wave equation with memory term and acoustic boundary conditionGeneral decay of solutions for a weak viscoelastic equation with acoustic boundary conditionsAsymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equationEnergy decay rate for a von Karman system with a boundary nonlinear delay termExistence and nonexistence of global solutions for nonlinear transmission acousticproblemExponential decay for a von Kármán equations with memoryExistence and general decay for nondissipative distributed systems with boundary frictional and memory dampings and acoustic boundary conditionsGeneral decay for a viscoelastic equation of variable coefficients in the presence of past history with delay term in the boundary feedback and acoustic boundary conditionsOn the exponential decay of waves with memoryNew general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditionsAcoustic wave motions stabilized by boundary memory damping. II: Polynomial stabilityGeneral stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditionsOn a mixed problem with a nonlinear acoustic boundary condition for a non-locally reacting boundariesGeneral stability of solutions for a viscoelastic wave equations of Kirchhoff type with acoustic boundary conditionsExponential decay for a von Kármán equations of memory type with acoustic boundary conditionsExponential decay for nonlinear von Kármán equations with memoryUniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic dampingExistence and general decay for nondissipative hyperbolic differential inclusions with acoustic/memory boundary conditionsAsymptotic behavior for a past history viscoelastic problem with acoustic boundary conditionsUnnamed ItemStability of a transmission problem for Kirchhoff‐type wave equations with memory on the boundaryGeneral decay of solutions of quasilinear wave equation with time‐varying delay in the boundary feedback and acoustic boundary conditionsWell-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditionsGeneral decay result for the wave equation with memory and acoustic boundary conditionsUnnamed ItemGeneral decay for a nonlinear Bresse system with memory conditions on part of the boundaryDYNAMIC PROPERTIES FOR NONLINEAR VISCOELASTIC KIRCHHOFF-TYPE EQUATION WITH ACOUSTIC CONTROL BOUNDARY CONDITIONS ⅡNONLINEAR WAVE EQUATIONS WITH NONLINEAR TRANSMISSION ACOUSTIC CONDITIONUniform stabilization of a variable coefficient wave equation with nonlinear damping and acoustic boundaryArbitrary rate of decay for a viscoelastic equation with acoustic boundary conditionsAcoustic wave motions stabilized by boundary memory dampingPolynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions




Cites Work




This page was built for publication: Decay rate estimates for wave equations of memory type with acoustic boundary conditions