A Variational Approach to Neumann Stochastic Semi-Linear Equations Modeling the Thermostatic Control

被引：0

作者：

Ciotir, Ioana ^{[1
]}

机构：

[1] Romanian Acad, Iasi Branch, Inst Math Octav Mayer, Iasi, Romania

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2015年 / 167卷 / 03期

关键词：

Optimization; Set-valued maps; Variational principle of Brezis and Ekeland; Stochastic PDE's; Maximal monotone operators; PARABOLIC EQUATIONS; EXISTENCE; PRINCIPLE;

D O I：

10.1007/s10957-015-0787-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In the present paper, we prove existence and uniqueness of a mild solution for a stochastic semi-linear equation with Neumann boundary conditions, using only general monotonicity assumptions. The study of this equation is motivated by physical applications as the model of the temperature control through the boundary. The result is proved by using an optimal control approach based on the variational principle of Brezis and Ekeland.

引用

页码：1095 / 1111

页数：17

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