On Solutions of a Parabolic Equation with Nonstandard Growth Condition
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A parabolic equation with nonstandard growth condition is considered.
A kind of weak solution and a kind of strong solution are introduced, respectively; the existence of solutions is proved by a parabolically regularized method.
The stability of weak solutions is based on a natural partial boundary value condition.
Two novelty elements of the paper are both the dependence of diffusion coefficient bx,t on the time variable t, and the partial boundary value condition based on a submanifold of ∂Ω×0,T.
How to overcome the difficulties arising from the nonstandard growth conditions is another technological novelty of this paper.
American Psychological Association (APA)
Zhan, Huashui. 2020. On Solutions of a Parabolic Equation with Nonstandard Growth Condition. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1186029
Modern Language Association (MLA)
Zhan, Huashui. On Solutions of a Parabolic Equation with Nonstandard Growth Condition. Journal of Function Spaces No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1186029
American Medical Association (AMA)
Zhan, Huashui. On Solutions of a Parabolic Equation with Nonstandard Growth Condition. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1186029
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186029