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Existence and asymptotic behaviour of solutions of the very fast diffusion equation

โœ Scribed by Shu-Yu Hsu


Book ID
120759533
Publisher
Springer
Year
2012
Tongue
English
Weight
267 KB
Volume
140
Category
Article
ISSN
0025-2611

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๐Ÿ“œ SIMILAR VOLUMES


Singular limit of solutions of the very
โœ Kin Ming Hui ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 555 KB

We prove that the distribution solutions of the very fast diffusion equation โˆ‚u/โˆ‚t = โˆ†(u m /m), u > 0, in R n ร— (0, โˆž), u(x, 0) = u 0 (x) in R n , where m < 0, n โ‰ฅ 2, constructed in [P. Daskalopoulos, M.A. Del Pino, On nonlinear parabolic equations of very fast diffusion, Arch. Ration. Mech. Anal. 1