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Extinction profile of the logarithmic diffusion equation

โœ Scribed by Kin Ming Hui, Sunghoon Kim


Book ID
120759582
Publisher
Springer
Year
2013
Tongue
English
Weight
410 KB
Volume
143
Category
Article
ISSN
0025-2611

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Behaviour of solutions of a singular dif
โœ Shu-Yu Hsu ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 521 KB

We prove that if ยฟ 2 and 0 6 u0 โˆˆ L 1 (R 2 ) โˆฉ L p (R 2 ) for some constant p ยฟ 1 is a radially symmetric function, u0 โ‰ก 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†’ โˆž for any 0 ยก a ยก b ยก T where T = R 2 u0 d x=2 , then there exist uni