We prove that if ยฟ 2 and 0 6 u0 โ L 1 (R 2 ) โฉ L p (R 2 ) for some constant p ยฟ 1 is a radially symmetric function, u0 โก 0, and u is the unique solution of the equation ut and rur(x; t)=u(x; t) โ -uniformly on [a; b] as r = |x| โ โ for any 0 ยก a ยก b ยก T where T = R 2 u0 d x=2 , then there exist uni
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Large time behaviour of solutions of a singular diffusion equation in
โ Scribed by Shu-Yu Hsu
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 215 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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## 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.
Similar entropy solutions of a singular
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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.
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