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Obstructions to Existence in Fast-Diffusion Equations

✍ Scribed by Ana Rodriguez; Juan L. Vazquez


Book ID
102589930
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
316 KB
Volume
184
Category
Article
ISSN
0022-0396

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In this paper we study the global existence and asymptotic behaviour of solutions to u t =2 log u for the Cauchy initial value problem in R n . We prove that if n 3, then every solution satisfies R n u p (x, t) dx= for any 1< p nΓ‚2, where 0nΓ‚2. Hence, we extend a previous result of Vazquez [19] whic