Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dt?u+ℬu∋ft in V′, t∈0, T, where V is a real reflexive Banach space, ? and ℬ are maximal monotone operators (possibly multivalued) from V to its dual V′.
In view of some practical applications, we assume that ? and ℬ are subdifferentials.
By using the back difference approximation, existence is established, and our proof relies on the continuity of ? and the coerciveness of ℬ.
As an application, we give the existence for a nonlinear degenerate parabolic equation.
American Psychological Association (APA)
Su, Ning& Zhang, Li. 2014. Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-481289
Modern Language Association (MLA)
Su, Ning& Zhang, Li. Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-481289
American Medical Association (AMA)
Su, Ning& Zhang, Li. Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-481289
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481289