Existence of Weighted Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Partial Evolution Equations
Analysis of PDEs
2013-03-12 v2
Abstract
In this paper, under Acquistpace-Terreni conditions, we make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of weighted pseudo almost periodic solutions to some classes of nonautonomous partial evolution equations. Applications include the existence of weighted pseudo almost periodic solutions to a nonautonomous heat equation with gradient coefficients.
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Cite
@article{arxiv.1010.3774,
title = {Existence of Weighted Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Partial Evolution Equations},
author = {Toka Diagana},
journal= {arXiv preprint arXiv:1010.3774},
year = {2013}
}
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Original Research Paper