Advances in Difference Equations
Volume 2008 (2008), Article ID 316207, 20 pages
doi:10.1155/2008/316207
Semilinear evolution equations of second order via maximal regularity
Claudio Cuevas1
and Carlos Lizama2
1Departamento de Matemática, Universidade Federal de Pernambuco, Avenue Prof. Luiz Freire, S/N, Recife, 50540-740 PE, Brazil
2Departamento de Matemática, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago, Chile
Abstract
This paper deals with the existence and stability of solutions for semilinear second-order evolution equations on Banach spaces by using recent characterizations of discrete maximal regularity.