Attractors in \(L^2(\mathbb{R}^N)\) for a class of reaction-diffusion equations

DOI10.1016/J.NA.2009.01.025zbMath1221.35203OpenAlexW2232864320MaRDI QIDQ1030085

Suyun Wang, Yanhong Zhang, Cheng-Kui Zhong

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.025

zbMATH Keywords

global attractorabsorbing setnonlinear reaction-diffusion equation\(\omega\)-limit compactness

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Attractors (35B41) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Reaction-diffusion equations (35K57) Stability of solutions to ordinary differential equations (34D20)

Related Items (7)

Bi-space global attractors for a class of nonclassical parabolic equations with arbitrary polynomial growth in unbounded domain ⋮ Attractors in \(L^p(\mathbb R^N)\) and \(H^1(\mathbb R^N)\) for a class of reaction-diffusion equations ⋮ Pullback attractors for a class of non-autonomous reaction-diffusion equations in \(\mathbb{R}^{n}\) ⋮ Global attractors in \(H^1(\mathbb R^N)\) for nonclassical diffusion equations ⋮ Upper semicontinuity of pullback D$\mathcal {D}$‐attractors for nonlinear parabolic equation with nonstandard growth condition ⋮ \((L^2,H^1)\)-random attractors for stochastic reaction-diffusion equation on unbounded domains ⋮ The well-posedness and the regularity of global attractor for a couple stress fluid through porous layer with the local thermal non-equilibrium effect

Cites Work

• Unnamed Item
• Attractors for reaction-diffusion equations in unbounded domains
• The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
• The attractor for a nonlinear reaction-diffusion system in an unbounded domain
• Attractors of partial differential evolution equations in an unbounded domain

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