Finite propagation speed for Leibenson's equation on Riemannian manifolds

被引：0
|
作者：
Grigor'yan, Alexander [1 ]
Suerig, Philipp [1 ]
机构：
[1] Univ Bielefeld, Fak Math, Postfach 100131, D-33501 Bielefeld, Germany
来源：
COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2024年 / 32卷 / 09期
关键词：
POROUS-MEDIUM EQUATION; HEAT-EQUATION; SUPERSOLUTIONS; BEHAVIOR; SOBOLEV; GROWTH;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider on arbitrary Riemannian manifolds the Leibenson equation partial derivative(tu) = Delta(p)uq. This equation is also known as doubly nonlinear evolution equation. It comes from hydrodynamics where it describes filtration of a turbulent compressible liquid in porous medium. We prove that that, under optimal restrictions on p and q, weak subsolutions to this equation have finite propagation speed.
引用
收藏
页码：2467 / 2504
页数：38
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