Almost automorphic solutions for nonautonomous parabolic evolution equations

DOI10.1007/s00233-019-10045-wzbMath1471.35018OpenAlexW2971104355MaRDI QIDQ2009652

Kamal Khalil, Mahmoud Baroun, Lahcen Maniar, Khalil Ezzinbi

Publication date: 29 November 2019

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-019-10045-w

zbMATH Keywords

exponential dichotomyevolution familyextrapolation and interpolation spaces\(\mu\)-Pseudo almost automorphic solutionsStepanov almost automorphic forcing

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Almost and pseudo-almost periodic solutions to PDEs (35B15) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Semilinear parabolic equations (35K58)

Related Items

Multi-dimensional almost automorphic type functions and applications, Compact almost automorphic solutions for semilinear parabolic evolution equations, Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces, Positive almost periodic solutions of nonautonomous evolution equations and application to Lotka–Volterra systems, Almost periodic functions and their applications: a survey of results and perspectives

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