![](/images/graphics-bg.png)
A Parameter Property of Classical Solutions of Cauchy Problems
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-10
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
This work is concerned with the abstract Cauchy problems that depend on parameters.
The goal is to study continuity in the parameters of the classical solutions of the Cauchy problems.
The situation considered in this work is when the operator of the Cauchy problem is not densely defined.
By applying integrated semigroup theory and the results on continuity in the parameters of C 0-semigroup and integrated semigroup, we obtain the results on the existence and continuity in parameters of the classical solutions of the Cauchy problems.
The application of the obtained abstract results in a parabolic partial differential equation is discussed in the last section of the paper.
American Psychological Association (APA)
He, Min. 2014. A Parameter Property of Classical Solutions of Cauchy Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1013772
Modern Language Association (MLA)
He, Min. A Parameter Property of Classical Solutions of Cauchy Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1013772
American Medical Association (AMA)
He, Min. A Parameter Property of Classical Solutions of Cauchy Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1013772
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013772