TITLE

Existence of Solutions in Some Interpolation Spaces for a Class of Semilinear Evolution Equations with Nonlocal Initial Conditions

AUTHOR(S)
Jung-Chan Chang; Hsiang Liu
PUB. DATE
January 2013
SOURCE
Journal of Function Spaces & Applications;2013, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper is concerned with the existence of mild and strong solutions for a class of semilinear evolution equations with nonlocal initial conditions. The linear part is assumed to be a (not necessarily densely defined) sectorial operator in a Banach space X. Considering the equations in the norm of some interpolation spaces between X and the domain of the linear part, we generalize the recent conclusions on this topic. The obtained results will be applied to a class of semilinear functional partial differential equations with nonlocal conditions.
ACCESSION #
94626575

 

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