Almost automorphic solutions for evolutions equations

Bruno de Andrade, Eder Mateus, ArlĂșcio Viana

Abstract


In this work we deal with existence and uniqueness of almost automorphic solutions for abstract semilinear differential equations using a mix of fixed point theory and extrapolation spaces theory. We apply our abstract results in the framework of transmission problems for the Bernoulli-Euler plate equation and heat conduction theory.

Keywords


Functional differential equations; almost automorphic solutions; transmission problems; heat equation

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