Existence of solutions for a class of abstract differential equations with nonlocal conditions


Autoria(s): HERNANDEZ, Eduardo; SANTOS, Jair Silverio dos; AZEVEDO, Katia A. G.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

19/10/2012

19/10/2012

2011

Resumo

We discuss the existence of mild, classical and strict solutions for a class of abstract differential equations with nonlocal conditions. Our technical approach allows the study of partial differential equations with nonlocal conditions involving partial derivatives or nonlinear expressions of the solution. Some concrete applications to partial differential equations are considered. (C) 2010 Elsevier Ltd. All rights reserved.

Identificador

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.74, n.7, p.2624-2634, 2011

0362-546X

http://producao.usp.br/handle/BDPI/20944

10.1016/j.na.2010.12.018

http://dx.doi.org/10.1016/j.na.2010.12.018

Idioma(s)

eng

Publicador

PERGAMON-ELSEVIER SCIENCE LTD

Relação

Nonlinear Analysis-theory Methods & Applications

Direitos

restrictedAccess

Copyright PERGAMON-ELSEVIER SCIENCE LTD

Palavras-Chave #Analytic semigroup #Nonlocal conditions #Abstract Cauchy problem #EVOLUTION-EQUATIONS #INITIAL CONDITIONS #CAUCHY-PROBLEM #BANACH-SPACES #ALPHA-NORM #REGULARITY #UNIQUENESS #Mathematics, Applied #Mathematics
Tipo

article

original article

publishedVersion