Compact almost automorphic solutions for semilinear parabolic evolution equations

DOI10.1080/00036811.2020.1811979OpenAlexW3081398935MaRDI QIDQ5085516

Brahim Es-sebbar, Khalil Ezzinbi, Kamal Khalil

Publication date: 27 June 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13438

zbMATH Keywords

\(C_0\)-semigroupnonlinear evolution equationsreaction-diffusion equationscompact almost automorphic solutionsStepanov almost automorphic functionssubvariant functional methodunbounded forcing terms

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Nonlinear evolution equations (47J35) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Semilinear parabolic equations (35K58)

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Multi-dimensional almost automorphic type functions and applications, Eberlein-weakly almost periodic solutions for some partial functional differential equation with infinite delay, Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces, Positive almost periodic solutions of nonautonomous evolution equations and application to Lotka–Volterra systems

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