Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837710 | Nonlinear Analysis: Real World Applications | 2010 | 9 Pages |
Abstract
In this paper, we consider the positive solution of a Cauchy problem for the following PP-Laplace parabolic equation ut=div(|∇u|p−2∇u)+uq,p>2,q>1, and give a secondary critical exponent on the decay asymptotic behavior of an initial value at infinity for the existence of global and nonglobal solutions of the Cauchy problem. Furthermore, the life span of solutions is also studied.
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Authors
Chunlai Mu, Yuhuan Li, Ying Wang,