Infinite-dimensional Hamilton-Jacobi equations and Dirichlet boundary control problems of parabolic type

被引：28

作者：

Cannarsa, P ^{[1
]}

Tessitore, ME ^{[1
]}

机构：

[1] UNIV ROMA LA SAPIENZA,DIPARTIMENTO MATEMAT,I-00185 ROME,ITALY

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1996年 / 34卷 / 06期

关键词：

boundary control; viscosity solutions; Hamilton-Jacobi equation; parabolic equations; Dirichlet boundary conditions;

D O I：

10.1137/S0363012994263354

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper is concerned with an infinite-dimensional Hamilton-Jacobi equation. This equation is related to boundary control problems of Dirichlet type for semilinear parabolic systems. The viscosity solution approach is adapted to the equation under consideration, using the properties of fractional powers of generators of analytic semigroups. An existence-and-uniqueness result for such problem is obtained.

引用

页码：1831 / 1847

页数：17

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