Dimension of kernel sections for damped nonautonomous wave equations with critical exponent

DOI10.1063/1.3050333zbMath1189.35181OpenAlexW2062883212MaRDI QIDQ3649940

Ailing Ban, Shengfan Zhou, Xiaoying Han

Publication date: 7 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3050333

zbMATH Keywords

critical exponentswave equationsboundary-value problemsset theorygroup theory

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
• On the dimension of the global attractor for a damped semilinear wave equation with critical exponent
• Dimension of the global attractor for damped nonlinear wave equations
• Dimension of the global attractor for damped semilinear wave equations with critical exponent
• Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
• On the dimension of the global attractor for the damped Sine–Gordon equation

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