Global solutions for some nonlinear parabolic equations with nonmonotonic perturbations
โ Scribed by Mitsuhiro Nakao
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 817 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone nonlinearity. We assume the existence of an upper solution and a lower solution such that F . Using results from the theory of pseudomonotone operators and from the theory of multivalued analysis together with
The existence, uniqueness, and L ฯฑ estimate of the weak solution to the initial boundary value problem for the doubly nonlinear parabolic equation ลฝ . t with zero boundary condition in a bounded domain โ ; R N are established. In particular, the behavior of the solution as t ยช 0 q and t ยช qฯฑ is in