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.
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页码：301 / 341
页数：41
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