Pseudo almost periodic solutions for some parabolic evolution equations with Stepanov-like pseudo almost periodic forcing terms

DOI10.1016/j.jmaa.2018.01.037zbMath1394.35023OpenAlexW2791260476MaRDI QIDQ1754579

Lahcen Maniar, Kamal Khalil, Khalil Ezzinbi, Mahmoud Baroun

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.037

zbMATH Keywords

\(\mu\)-pseudo almost periodic functionshyperbolic semigroupsextrapolation and interpolation spaces

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Almost and pseudo-almost periodic solutions to PDEs (35B15) Semilinear parabolic equations (35K58)

Related Items

Compact almost automorphic solutions for semilinear parabolic evolution equations, Stepanov-like pseudo almost periodicity in distribution and optimal control to impulsive partial stochastic differential 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, Pseudo-almost periodic solutions in the alpha-norm and in Stepanov's sense for some evolution equations, \(\mu\)-pseudo almost periodic solutions to some semilinear boundary equations on networks, Almost automorphic solutions for nonautonomous parabolic evolution equations, STEPANOV-LIKE PSEUDO ALMOST PERIODIC SOLUTIONS FOR IMPULSIVE PERTURBED PARTIAL STOCHASTIC DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL, Asymptotic behavior of solution for functional evolution equations with Stepanov forcing terms, Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space

Cites Work

• Almost automorphic solutions for hyperbolic semilinear evolution equations
• Weighted pseudo almost periodic functions and applications
• Almost periodic and almost automorphic solutions to semilinear parabolic boundary differential equations
• Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with \(\mathbf S^p\)-weighted pseudo-almost periodic coefficients
• Semigroups of linear operators and applications to partial differential equations
• Almost periodic differential equations
• Pseudo almost periodic solutions of some differential equations
• Stepanov ergodic perturbations for some neutral partial functional differential equations
• One-Parameter Semigroups for Linear Evolution Equations
• New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications
• A NEW APPROACH TO ALMOST PERIODICITY
• Analytic semigroups and optimal regularity in parabolic problems
• Almost-periodic-type solutions of some differential equations with piecewise constant argument
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item