A Class of Hamilton—Jacobi Equations with Unbounded Coefficients in Hilbert Spaces

被引：0

作者：

K. Shimano

机构：

[1] Department of Mathematics,

[2] Tokyo Metropolitan University,undefined

[3] Hachioji,undefined

[4] Tokyo 192-0397,undefined

[5] Japan,undefined

来源：

Applied Mathematics & Optimization | 2002年 / 45卷

关键词：

Key words. Hamilton—Jacobi equations, Value functions, Perron's method, Optimal control problems, Viscosity solutions, Invariant sets. AMS Classification. 35K55, 35R15, 47N20, 49L20, 49L25.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish existence and comparison theorems for a class of Hamilton—Jacobi equations. The class of Hamilton—Jacobi equations includes and is broader than those studied in [8] We apply the existence and uniqueness results to characterizing the value functions associated with the optimal control of systems governed by partial differential equations of parabolic type.

引用

页码：75 / 98

页数：23

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