Existence of solutions for a class of abstract differential equations with nonlocal conditions
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
19/10/2012
19/10/2012
2011
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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 |
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 |