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 in
A priori L∞-estimate and existence of solutions for some nonlinear parabolic equations
✍ Scribed by Shulin Zhou
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 134 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0362-546X
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## 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
## a b s t r a c t In this study, we present an existence of solutions for some nonlinear functional-integral equations which include many key integral and functional equations that appear in nonlinear analysis and its applications. By using the techniques of noncompactness measures, we employ the