ON THE CONVERGENCE OF SINGULAR PERTURBATIONS OF HAMILTON-JACOBI EQUATIONS

被引：1

作者：

Marchi, Claudio ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2010年 / 9卷 / 05期

关键词：

Singular perturbations; viscosity solutions; Hamilton-Jacobi equations; ergodicity; homogenization; rate of convergence; PERIODIC HOMOGENIZATION; VISCOSITY SOLUTIONS; DIFFERENTIAL-GAMES;

D O I：

10.3934/cpaa.2010.9.1363

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to singular perturbation problems for first order equations. Under some coercivity and periodicity assumptions, we establish the uniform convergence and we provide an estimate of the rate of convergence, which we consider the main result of the paper. We shall also show that our results apply to the homogenization problem for coercive and periodic equations. Finally, some examples arising in optimal control and differential games theory will be discussed.

引用

页码：1363 / 1377

页数：15

共 25 条

[1] Singular perturbations of nonlinear degenerate parabolic PDEs: A general convergence result [J].