Dimension of the global attractor for damped semilinear wave equations with critical exponent

DOI10.1063/1.532978zbMath0948.35017OpenAlexW2012762796MaRDI QIDQ4270436

Shengfan Zhou

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532978

zbMATH Keywords

Hausdorff dimensionlarge damping

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

Global attractor of the fractional damping wave equation on ℝ³ ⋮ On the dimension of the global attractor for a damped semilinear wave equation with critical exponent ⋮ Dimension of kernel sections for damped nonautonomous wave equations with critical exponent

Cites Work

• \(\alpha\)-contractions and attractors for dissipative semilinear hyperbolic equations and systems
• Global attractors for semilinear damped wave equations with supercritical exponent
• A damped hyerbolic equation with critical exponent
• Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
• On dimension of the global attractor for damped nonlinear wave equations
• Global attractors for semilinear wave equations with nonlinear damping and critical exponent

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