The Dirichlet problem for the Porous Medium Equation in bounded domains. Asymptotic behavior

被引：43
作者：
Vazquez, JL [1 ]
机构：
[1] Univ Autonoma Madrid, Dept Matemat, Madrid 28046, Spain
来源：
MONATSHEFTE FUR MATHEMATIK | 2004年 / 142卷 / 1-2期
关键词：
nonlinear parabolic equation; Porous Medium Equation; Dirichlet problem; asymptotic behavior;
D O I：
10.1007/s00605-004-0237-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper contains a complete study of the large-time behavior of solutions of the Porous Medium Equation, u(t) = Deltau(m) with m > 1, posed in a bounded domain of the n-dimensional space with homogeneous boundary conditions. Asymptotic profiles are obtained and full proofs of the convergence results are given. Solutions with changing sign and problems posed in tubes are also considered.
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页码：81 / 111
页数：31
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