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A class of self-similar solutions to a singular and degenerate diffusion equation

โœ Scribed by Chunpeng Wang; Tong Yang; Jingxue Yin


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
254 KB
Volume
60
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


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.

Singularity and regularity of solutions
โœ Zhu Xiangrong ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 442 KB

In this note we consider the solution of the degenerate elliptic system where B 1 denotes the unit ball in R n and F is smooth and increasing on [0, 1] with to this elliptic system. Here we will study the property of u at the origin. At first we give the necessary and sufficient condition such th

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.