Extinction and decay estimates for viscous Hamilton-Jacobi equations in RN

被引：25

作者：

Benachour, S ^{[1
]}

Laurençot, P ^{[1
]}

Schmitt, D ^{[1
]}

机构：

[1] Univ Nancy 1, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 04期

关键词：

extinction in finite time; temporal decay estimates; viscous Hamilton-Jacobi equations;

D O I：

10.1090/S0002-9939-01-06140-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider non-negative and integrable classical solutions to the Cauchy problem u(t)-Deltau+\delu\(p) = 0 when p is an element of (0, +infinity). For p is an element of (0, N/(N+1)) we prove that any such solution vanishes identically after a finite time. For higher values of p temporal decay estimates are obtained.

引用

页码：1103 / 1111

页数：9

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