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
Link To Document :
