Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Asymptotic behavior for abstract wave equations with decaying dissipation - MaRDI portal

Asymptotic behavior for abstract wave equations with decaying dissipation

From MaRDI portal
Publication:2434046

zbMath1103.35081MaRDI QIDQ2434046

Taeko Yamazaki

Publication date: 31 October 2006

Published in: Advances in Differential Equations (Search for Journal in Brave)




Related Items (23)

Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff typeHigher-order asymptotic expansion for abstract linear second-order differential equations with time-dependent coefficientsHyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type with weak dissipationScaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficientsWave equations with time-dependent dissipation. II: Effective dissipation\( \sigma \)-evolution models with low regular time-dependent effective structural dampingA class of dissipative wave equations with time-dependent speed and dampingAsymptotic expansion of solutions to the wave equation with space-dependent dampingWeighted energy method for semilinear wave equations with time-dependent dampingHyperbolic-parabolic singular perturbation for nondegenerate Kirchhoff equations with critical weak dissipationDecay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying dataHyperbolic-like estimates for higher order equationsClassification of asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients: effective damping caseCritical exponent for the semilinear wave equations with a damping increasing in the far fieldNecessary condition on the dissipative term for the asymptotically free property of dissipative Kirchhoff equationsTotal energy decay for semilinear wave equations with a critical potential type of dampingHigher order asymptotic expansions to the solutions for a nonlinear damped wave equationHigher order asymptotic expansion of solutions to abstract linear hyperbolic equationsAsymptotic behavior of solutions to the semilinear wave equation with time-dependent dampingAsymptotic behaviors of solutions for time dependent damped wave equationsRemark on the blow-up of solutions for the semilinear wave equation with overdamping termOn the Parabolic Regime of a Hyperbolic Equation with Weak Dissipation: The Coercive CaseDiffusion phenomenon for abstract linear wave equations with time decaying coefficients of propagation and dissipation




This page was built for publication: Asymptotic behavior for abstract wave equations with decaying dissipation