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

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

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

CUBO, A Mathematical Journal, Tome 10 (2008), / Harvested from Cubo, A Mathematical Journal

Résumé

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.

Publié le : 2008-10-01

@article{1508,
     title = {Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations},
     journal = {CUBO, A Mathematical Journal},
     volume = {10},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1508}
}

Blot, J.; Pennequin, D.; N’Gu´er´ekata, Gaston M. Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1508/