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

页码：2467 / 2504

页数：38

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