SOME RESULTS ON NONLINEAR OPTIMAL-CONTROL PROBLEMS AND HAMILTON-JACOBI EQUATIONS IN INFINITE DIMENSIONS

被引：12

作者：

CANNARSA, P ^{[1
]}

DAPRATO, G ^{[1
]}

机构：

[1] SCUOLA NORMALE SUPER PISA,I-56126 PISA,ITALY

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 90卷 / 01期

关键词：

D O I：

10.1016/0022-1236(90)90079-Z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The optimal control of a distributed parameter system is connected to the solution of the corresponding Hamilton-Jacobi equation. This is a first-order equation in infinite dimensions with discontinuous coefficients. We study the Hamilton-Jacobi equation of a system governed either by a "semilinear" or by a "monotone" dynamics, replacing the unbounded terms of this equation by their Yosida approximations. We prove convergence of the approximate solutions to the value function of the original problem, by using the uniqueness result for viscosity solutions. Examples and applications are included. © 1990.

引用

页码：27 / 47

页数：21

共 20 条

[11]

CRANDALL MG, HAMILTON JACOBI EQUA, V4

[12] LINEAR PARABOLIC EVOLUTION-EQUATIONS IN LP-SPACES [J].