The Cauchy problem for ut=Δu+|delu|q, large-time behaviour

被引：36
|
作者：
Gilding, BH [1 ]
机构：
[1] Sultan Qaboos Univ, Coll Sci, Dept Math & Stat, Al Khoud, Oman
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2005年 / 84卷 / 06期
关键词：
surface growth; KPZ equation; viscous Hamilton-Jacobi equation; nonlinear second-order parabolic; temporal decay estimate; large-time behaviour;
D O I：
10.1016/j.matpur.2004.11.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonlinear partial differential equation in the title is typified mathematically as a viscous Hamilton-Jacobi equation. It arises in the study of the growth of surfaces, and in that context is known as the generalized deterministic KPZ equation. Considering the Cauchy problem with initial data that are merely supposed to be bounded and continuous, results on the temporal decay and large-time behaviour of solutions are presented. Corresponding results for the heat equation serve as benchmarks. (c) 2004 Elsevier SAS. All rights reserved.
引用
收藏
页码：753 / 785
页数：33
相关论文
共 50 条
12345