Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion

DOI10.1016/j.jde.2022.04.033zbMath1489.35018OpenAlexW4225281824MaRDI QIDQ2137845

Jiaohui Xu, Tomás Caraballo Garrido, Valero, José

Publication date: 11 May 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.04.033

zbMATH Keywords

global attractorsnon-local partial differential equationsDafermos transformationlong time memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Integro-partial differential equations (45K05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Semilinear parabolic equations (35K58)

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