Attractors for strongly damped wave equations with critical exponent

DOI10.1016/S0893-9659(03)90134-0zbMath1039.37071MaRDI QIDQ1433215

Shengfan Zhou

Publication date: 15 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

wave equationEquivalent normGlobal attractor

Mathematics Subject Classification ID

Attractors (35B41) 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)

Related Items (14)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Limiting behavior of strongly damped nonlinear wave equations
• Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
• Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
• Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
• Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
• Local well posedness for strongly damped wave equations with critical nonlinearities
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