The existence, uniqueness, and L Ο± estimate of the weak solution to the initial boundary value problem for the doubly nonlinear parabolic equation Ε½ . t with zero boundary condition in a bounded domain β ; R N are established. In particular, the behavior of the solution as t Βͺ 0 q and t Βͺ qΟ± is in
Existence and some properties of weak solutions for a singular nonlinear parabolic equation
β Scribed by Liu Qiang; Yao Zheng'an; Zhou Wenshu
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 205 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.851
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
This paper deals with the initial and boundary value problem for a singular nonlinear parabolic equation. The existence of solutions is established by parabolic regularization. Some properties of solutions, for instance localization and large time behaviour are also discussed. Copyright Β© 2007 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
We consider the nonlinear singular differential equation where Β΅ and Ο are two positive Radon measures on 0 Ο not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the
In this paper, we investigate a class of pseudo-parabolic equations. Such equations model two-phase flow in porous media where dynamic effects are included in the capillary pressure. The existence and uniqueness of a weak solution are proved, and error estimates for an Euler implicit time discretiza