Regularity and exponential growth of pullback attractors for semilinear parabolic equations involving the Grushin operator

DOI10.1155/2012/272145zbMath1237.35100OpenAlexW1981570498WikidataQ58696212 ScholiaQ58696212MaRDI QIDQ417118

Nguyen Dinh Binh

Publication date: 14 May 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/272145

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Semilinear parabolic equations (35K58)

Related Items (1)

Strong solutions to a strongly degenerate semilinear parabolic equation

Cites Work

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• On the dynamics of nonautonomous parabolic systems involving the Grushin operators
• Uniform attractors for a non-autonomous parabolic equation involving Grushin operator
• Some existence and nonexistence results for boundary value problems for semilinear elliptic degenerate operators
• An exponential growth condition in \(H^{2}\) for the pullback attractor of a non-autonomous reaction-diffusion equation
• \(H^{2}\)-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation
• Pullback attractors for the norm-to-weak continuous process and application to the nonautonomous reaction-diffusion equations
• The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
• ON PULLBACK ATTRACTORS IN $H^1_0$ FOR NONAUTONOMOUS REACTION–DIFFUSION EQUATIONS
• On the existence of pullback attractors for non-autonomous reaction–diffusion equations
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
• REGULARITY AND FRACTAL DIMENSION OF PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMILINEAR DEGENERATE PARABOLIC EQUATION
• ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD

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