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Dynamics near extinction time of a singular diffusion equation

✍ Scribed by Shu-Yu Hsu

Book ID
105874371
Publisher
Springer
Year
2002
Tongue
English
Weight
322 KB
Volume
323
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

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✍ Shu-Yu Hsu πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 521 KB

We prove that if ΒΏ 2 and 0 6 u0 ∈ L 1 (R 2 ) ∩ L p (R 2 ) for some constant p ΒΏ 1 is a radially symmetric function, u0 ≑ 0, and u is the unique solution of the equation ut and rur(x; t)=u(x; t) β†’ -uniformly on [a; b] as r = |x| β†’ ∞ for any 0 Β‘ a Β‘ b Β‘ T where T = R 2 u0 d x=2 , then there exist uni

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✍ J. X. Yin; H. L. Li; P. Y. H. Pang πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 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.