Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842124 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 7 Pages |
Abstract
In this paper, we establish the critical global existence exponent and the critical Fujita exponent for the nonlinear diffusion equation ut=(logσ(1+u)ux)xut=(logσ(1+u)ux)x, in R+×(0,+∞)R+×(0,+∞), subject to a logarithmic boundary flux −logσ(1+u)ux(0,t)=(1+u)logp(1+u)(0,t),t∈(0,+∞), furthermore give the blow-up rate for the nonglobal solutions.
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Authors
Zhongping Li, Chunlai Mu,