Calculus of variations in Hilbert spaces

被引：0

作者：

L. Nurbekyan

机构：

[1] University of Texas at Austin,

[2] Instituto Superior Tecnico,undefined

来源：

Journal of Contemporary Mathematical Analysis | 2012年 / 47卷

关键词：

Calculus of variations; Hilbert space; 49J27; 49K27; 49L25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The objective of this paper is to discuss existence, uniqueness and regularity issues of minimizers of one dimensional variational problems in Hilbert spaces. We obtain existence of C2 local minimizers and prove that the value function of an optimal control problem solves corresponding Hamilton-Jacobi equation in a viscosity sense.

引用

页码：148 / 160

页数：12