Almost automorphic solutions to some classes of partial evolution equations

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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

Almost automorphic function
Exponentially stable semigroup
Existence and uniqueness of almost automorphic solutions
Partial differential equations
Heat equation

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