Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations
Author
Blot, J.
Pennequin, D.
N’Gu´er´ekata, Gaston M.
Abstract
We are concerned in this paper with the partial differential equation t ∈ ℝ, 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.