Almost automorphic solutions to some classes of partial evolution equations

Article ID	Journal	Published Year	Pages	File Type
1710340	Applied Mathematics Letters	2007	5 Pages	PDF

Abstract

We give in this work some sufficient conditions for the existence and uniqueness of almost automorphic (mild) solutions to some classes of partial evolution equations. Then we use our abstract results to discuss the existence and uniqueness of almost automorphic solutions to some partial differential equations.

Keywords

Exponentially stable semigroup Almost automorphic function Partial differential equations Heat equation