VISCOSITY SOLUTIONS FOR A CLASS OF HAMILTON-JACOBI EQUATIONS IN HILBERT-SPACES

被引：38

作者：

ISHII, H

机构：

[1] Department of Mathematics, Chuo University, Bunkyo-ku, Tokyo

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1992年 / 105卷 / 02期

关键词：

D O I：

10.1016/0022-1236(92)90081-S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Hamilton-Jacobi equations with an unbounded term in Hilbert spaces. We introduce a new variant of the notion of viscosity solution for a class of Hamilton-Jacobi equations, and obtain comparison and existence results for viscosity solutions. We also examine the usefulness of the notion of viscosity solution in optimal control. © 1992.

引用

页码：301 / 341

页数：41

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