Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619140 | Journal of Mathematical Analysis and Applications | 2010 | 16 Pages |
Abstract
In this paper we are concerned with the Dirichlet problem for the one-dimensional nonlinear heat equation with a singular term:{ut=uxx−σumux2+f(x,t),u>0,(x,t)∈QT,u(a,t)=u(b,t)=0,t∈[0,T],u(x,0)=u0(x),x∈I, where T>0T>0, QT=I×(0,T]QT=I×(0,T], I=(a,b)I=(a,b) with a
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wenshu Zhou, Peidong Lei,