Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations

J. Blot; D. Pennequin; Gaston M. N‘Gu´er´ekata

Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations

Authors

J. Blot Universit´e Paris 1 Panth´eon-Sorbonne, Laboratoire Marin Mersenne, Centre P.M.F., 90 rue de Tolbiac, 75647 Paris Cedex 13, France.
D. Pennequin Universit´e Paris 1 Panth´eon-Sorbonne, Laboratoire Marin Mersenne, Centre P.M.F., 90 rue de Tolbiac, 75647 Paris Cedex 13, France.
Gaston M. N‘Gu´er´ekata Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, M.D. 21251 – USA.

Keywords:

Pseudo Almost automorphic function, exponentially stable semigroup, partial differential equations

Abstract

We are concerned in this paper with the partial differential equation t âˆˆ â„, where A is a (generally unbounded) linear operator which generates a semigroup of bounded linear operators (T(t))_tâ‰¥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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Published

2008-10-01

How to Cite

[1]

J. Blot, D. Pennequin, and G. M. N‘Gu´er´ekata, “Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations”, CUBO, vol. 10, no. 3, pp. 161–170, Oct. 2008.