## 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
Global Existence and L∞ Estimates of Solution for Doubly Nonlinear Parabolic Equation
✍ Scribed by Chen Caisheng
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 119 KB
- Volume
- 244
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
The existence, uniqueness, and L ϱ estimate of the weak solution to the initial boundary value problem for the doubly nonlinear parabolic equation
Ž .
t with zero boundary condition in a bounded domain ⍀ ; R N are established. In particular, the behavior of the solution as t ª 0 q and t ª qϱ is investigated.
📜 SIMILAR VOLUMES
The paper studies the existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation arising in the model in variational form for the neo-Hookean elastomer rod where k 1 ,k 2 > 0 are real numbers, g(s) is a given nonlinear function. When g(s) = s n (where n 2 is