Article ID Journal Published Year Pages File Type
4619084 Journal of Mathematical Analysis and Applications 2010 10 Pages PDF
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
,