Open Access Research Article

Semilinear Evolution Equations of Second Order via Maximal Regularity

Claudio Cuevas1 and Carlos Lizama2*

Author Affiliations

1 Departamento de Matemática, Universidade Federal de Pernambuco, Avenue Prof. Luiz Freire, S/N, Recife, 50540-740 PE, Brazil

2 Departamento de Matemática, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago, Chile

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Advances in Difference Equations 2008, 2008:316207  doi:10.1155/2008/316207


The electronic version of this article is the complete one and can be found online at: http://www.advancesindifferenceequations.com/content/2008/1/316207


Received: 26 October 2007
Revisions received: 23 January 2008
Accepted: 4 February 2008

© 2008 The Author(s)

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.

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