Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations

被引：85

作者：

Barles, G

Souganidis, PE

机构：

[1] Univ Tours, Fac Sci & Tech, Lab Math & Phys Theor, F-37200 Tours, France

[2] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2001年 / 32卷 / 06期

关键词：

asymptotic behavior; space-time periodic solutions; quasi-linear parabolic equations; strong maximum principle; viscosity solutions;

D O I：

10.1137/S0036141000369344

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers (i) the existence of space-time periodic solutions of quasi-linear parabolic equations and (ii) the convergence, as t --> infinity, of space periodic solutions of the initial value problem of quasi-linear parabolic equations to the space-time periodic solutions.

引用

页码：1311 / 1323

页数：13

共 22 条

[1]

Barles G., 1991, DIFFER INTEGRAL EQU, V4, P263

[2]

Barles G., 1991, DIFFERENTIAL INTEGRA, V4, P241

[3]

BARLES G, COUNTEREXAMPLES ASYM

[4]

Caffarelli L. A., 1995, AM MATH SOC C PUBL, V43