Title of article
Existence and Non-existence of a Fast Diffusion Equation inRn
Author/Authors
Yuan-Wei Qi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1997
Pages
16
From page
378
To page
393
Abstract
In this paper we study the global existence and asymptotic behaviour of solutions tout=Δ log ufor the Cauchy initial value problem inRn. We prove that ifn 3, then every solution satisfies ∫Rn up(x, t) dx=∞ for any 1
n/2. Hence, we extend a previous result of Vazquez [19] which claims that ∫Rn u dx=∞ for 0
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
1997
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
749454
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