Analysis of Optimal Control Problems of Semilinear Elliptic Equations by BV-Functions

被引：0
作者：
Eduardo Casas
Karl Kunisch
机构：
[1] Universidad de Cantabria,Departamento de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación
[2] University of Graz,Institute for Mathematics and Scientific Computing
来源：
Set-Valued and Variational Analysis | 2019年 / 27卷
关键词：
Optimal control; Bounded variation functions; Sparsity; First and second order optimality conditions; Semilinear elliptic equations; 35J61; 49J20; 49J52; 49K20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Optimal control problems for semilinear elliptic equations with control costs in the space of bounded variations are analysed. BV-based optimal controls favor piecewise constant, and hence ’simple’ controls, with few jumps. Existence of optimal controls, necessary and sufficient optimality conditions of first and second order are analysed. Special attention is paid on the effect of the choice of the vector norm in the definition of the BV-seminorm for the optimal primal and adjoined variables.
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页码：355 / 379
页数：24
相关论文
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