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Removable singularities and non-uniqueness of solutions of a singular diffusion equation

โœ Scribed by Shu-Yu Hsu

Publisher
Springer
Year
2003
Tongue
English
Weight
290 KB
Volume
325
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES

BV solutions of a singular diffusion equ
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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.

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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.