Remarks on a singular diffusion equation
โ Scribed by Jong-Shenq Guo; I-Man Su
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 346 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
## Abstract In this paper, we study discontinuous solutions of a partial differential equation of strongly degenerate parabolic type. A notion of weak solutions of __BV__ class is proposed, and existence and uniqueness results are obtained.
In this paper, we study the free-boundary problem associated with a singular diffusion equation. An entropy equality derived by the authors for BV solutions in an earlier paper is used in its formulation. Existence, uniqueness, and regularity results are obtained.
In this paper, we study the similar entropy solutions of the singular diffusion equation, ## Ou O f Ou \ at -~ with ~b(s) = s/~i'-'+~. These kinds of solutions have nonvertical jump lines. We establish the existence and uniqueness and also discuss some properties of these kinds of solutions.