Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619084 | Journal of Mathematical Analysis and Applications | 2010 | 10 Pages |
Abstract
By using the Morse interaction technique, supposing that the uniqueness of the Barenblatt-type solution is true, the paper studies the large time asymptotic behavior of solutions for the doubly degenerate parabolic equationut=div(|Dum|p−2Dum)−|Dump1|−uqut=div(|Dum|p−2Dum)−|Dum|p1−uq with initial condition u(x,0)=u0(x)u(x,0)=u0(x). Here the exponents m, p , p1p1, q satisfy p>p1>p−1p>p1>p−1, q>m(p−1)>1q>m(p−1)>1, p>1p>1, m>1m>1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Huashui Zhan,