Global attractors for strongly damped wave equations with subcritical-critical nonlinearities

DOI10.3934/cpaa.2013.12.1015zbMath1267.35041OpenAlexW2321454167MaRDI QIDQ1951414

Filippo Dell'Oro

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.1015

zbMATH Keywords

regularityDirichlet boundary conditionsglobal attractorcritical growthtime-independent external force

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Critical exponents in context of PDEs (35B33) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

Strong attractors for the structurally damped Kirchhoff wave models with subcritical-critical nonlinearities ⋮ Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on \(\mathbb{R}^3\) ⋮ Global attractor for a strongly damped wave equation with fully supercritical nonlinearities ⋮ Global attractor of multi-valued operators with applications to a strongly damped nonlinear wave equation without uniqueness ⋮ Stability of attractors for the Kirchhoff wave equation with strong damping and critical nonlinearities

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