Finite speed of propagation for the porous media equation

被引：4

作者：

Bonafede, S

Cirmi, GR

Tedeev, AF

机构：

[1] Univ Catania, Dept Math, I-95125 Catania, Italy

[2] Natl Acad Sci Ukraine, Inst Appl Math & Mech, UA-340114 Donetsk, Ukraine

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1998年 / 29卷 / 06期

关键词：

porous media equation; energy solution; free boundary;

D O I：

10.1137/S0036141096298072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy{Dirichlet problem for the equation u(t) = Delta u(m,) m > 1, on D = R-k(N) x (t > 0); where R-k(N) = R-N boolean AND {x(1),..., x(k) > 0}, 1 less than or equal to k less than or equal to N greater than or equal to 1. Sharp bounds of the interface (or free boundary) are obtained. We use a weighted energy method, which allows us to consider more general equations.

引用

页码：1381 / 1398

页数：18