<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we review some results obtained for a distributed con- trol problem regarding a class of phase field systems of Caginalp type with logarithmic potential. The aim of the control problem is forcing the location of the diffuse interface to be as close as possible to a pre- scribed set. However, due to some discontinuity in the cost functional, we have to regularize it and solve the related control problem for the approximation. We discuss the necessary optimality conditions.</p></abstract>

In this paper we review some results obtained for a distributed con- trol problem regarding a class of phase field systems of Caginalp type with logarithmic potential. The aim of the control problem is forcing the location of the diffuse interface to be as close as possible to a pre- scribed set. However, due to some discontinuity in the cost functional, we have to regularize it and solve the related control problem for the approximation. We discuss the necessary optimality conditions.

Distributed optimal control problems for phase field systems with singular potential

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper we review some results obtained for a distributed con- trol problem regarding a class of phase field systems of Caginalp type with logarithmic...

奇异势相场系统的分布式最优控制问题

在线发布以下为：2018年11月22日

页面范围： 71 - 85

收到以下为：2017年3月1日

认可的以下为：2017年6月1日

内政部： https://doi.org/10.2478/auom-2018-0019

关键词
相场系统,奇异势,最优控制,最优性条件,伴随态系统

©2018 Pierluigi Colli等人，由Sciendo出版

本作品是根据Creative Commons Attribution-NonCommercial-NoDerivatives 4.0许可证授权的。