Finite speed of propagation for the porous media equation with lower order terms

被引：0
|
作者：
Bonafede, S
Cirmi, GR
Tedeev, AF
机构：
[1] Univ Palermo, Dept ESAF, I-90128 Palermo, Italy
[2] Univ Catania, Dept Math, I-95125 Catania, Italy
[3] Natl Acad Sci Ukraine, Inst Appl Math & Mech, UA-340114 Donetsk, Ukraine
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2000年 / 6卷 / 02期
关键词：
semigroups; integrated semigroups; growth bounds; eventual and essential compactness; asynchronous exponential growth; resolvent positive operator; spectral bound; positive perturbation; cumulative outputs; resolvent outputs; Stieltjes integral equations; age-structured population dynamics with another population structure;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the finite speed of propagation of the Cauchy-Dirichlet problem for the porous media equation with absorption or convection terms in the strip R-k(N) x (0, T), 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 and we find new upper bounds of the free boundary. Finally, we consider the case of higher order parabolic equations.
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页码：305 / 314
页数：10
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