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Remarks on a singular diffusion equation

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


BV solutions of a singular diffusion equ
โœ J. X. Yin; H. L. Li; P. Y. H. Pang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 183 KB

## 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.

Free-Boundary Problem for a Singular Dif
โœ P.Y.H. Pang; H.Y. Wang; J.X. Yin ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 120 KB

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.

Similar entropy solutions of a singular
โœ Chunpeng Wang; Jingxue Yin; Zejia Wang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 492 KB

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.