Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations
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J. Blot
blot@univ-paris1.fr
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D. Pennequin
pennequi@univ-paris1.fr
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Gaston M. N‘Gu´er´ekata
Gaston.nGuerekata@morgan.edu
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Abstract
We are concerned in this paper with the partial differential equation
t ∈ â„, where A is a (generally unbounded) linear operator which generates a semigroup of bounded linear operators (T(t))t≥0. Under appropriate sufficient conditions, we prove the existence and uniqueness of a pseudo almost automorphic mild solution to the equation.
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