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A New Method to Deal with the Stability of the Weak Solutions for a Nonlinear Parabolic Equation
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Consider the nonlinear parabolic equation ∂u/∂t-div(a(x)|∇u|p-2∇u)=f(x,t,u,∇u) with axx∈Ω>0 and a(x)x∈∂Ω=0.
Though it is well known that the degeneracy of a(x) may cause the usual Dirichlet boundary value condition to be overdetermined, and only a partial boundary value condition is needed, since the nonlinearity, this partial boundary can not be depicted out by Fichera function as in the linear case.
A new method is introduced in the paper; accordingly, the stability of the weak solutions can be proved independent of the boundary value condition.
American Psychological Association (APA)
Zhan, Huashui. 2018. A New Method to Deal with the Stability of the Weak Solutions for a Nonlinear Parabolic Equation. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1185990
Modern Language Association (MLA)
Zhan, Huashui. A New Method to Deal with the Stability of the Weak Solutions for a Nonlinear Parabolic Equation. Journal of Function Spaces No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1185990
American Medical Association (AMA)
Zhan, Huashui. A New Method to Deal with the Stability of the Weak Solutions for a Nonlinear Parabolic Equation. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1185990
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185990