Almost automorphic solutions for nonautonomous parabolic evolution equations
Sign Up to like & getrecommendations! Published in 2019 at "Semigroup Forum"
DOI: 10.1007/s00233-019-10045-w
Abstract: In this work, we study the existence and uniqueness of almost automorphic solutions for semilinear nonautonomous parabolic evolution equations with inhomogeneous boundary conditions using the exponential dichotomy. We assume that the homogeneous problem satisfies the… read more here.
Keywords: automorphic solutions; parabolic evolution; evolution equations; nonautonomous parabolic ... See more keywords
Compact almost automorphic solutions for some nonlinear dissipative differential equations in Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2017.1423328
Abstract: ABSTRACT The aim of this work is to prove the existence and uniqueness of compact almost automorphic solutions for some dissipative differential equations in Banach spaces when the input function is only almost automorphic in… read more here.
Keywords: automorphic solutions; dissipative differential; almost automorphic; differential equations ... See more keywords