Existence of Solutions in Some Interpolation Spaces for a Class of Semilinear Evolution Equations with Nonlocal Initial Conditions
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Chang, Jung-Chan& Liu, Hsiang. 2013. Existence of Solutions in Some Interpolation Spaces for a Class of Semilinear Evolution Equations with Nonlocal Initial Conditions. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1006094
Modern Language Association (MLA)
Chang, Jung-Chan& Liu, Hsiang. Existence of Solutions in Some Interpolation Spaces for a Class of Semilinear Evolution Equations with Nonlocal Initial Conditions. Journal of Function Spaces No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1006094
American Medical Association (AMA)
Chang, Jung-Chan& Liu, Hsiang. Existence of Solutions in Some Interpolation Spaces for a Class of Semilinear Evolution Equations with Nonlocal Initial Conditions. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1006094
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006094
