A global solution for a reaction-diffusion equation on bounded domains

DOI10.21042/AMNS.2018.1.00002MaRDI QIDQ2690563

Mahmud Beyk Khormizi, Farhad Khellat

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

zbMATH Keywords

fractal dimensionChafee-Infante equationnon-autonomous reaction-diffusion equationpullback global attractor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45)

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Cites Work

• Unnamed Item
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• Attractors for infinite-dimensional non-autonomous dynamical systems
• Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems
• Pullback exponential attractors for nonautonomous equations. II: Applications to reaction-diffusion systems
• Almost periodic dynamics of perturbed infinite-dimensional dynamical systems
• An optimal Poincaré inequality for convex domains
• Pullback exponential attractors for evolution processes in Banach spaces: theoretical results
• Pullback exponential attractors for evolution processes in Banach spaces: properties and applications
• Pullback exponential attractors with admissible exponential growth in the past
• Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation
• The dimension of attractors of nonautonomous partial differential equations

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