具有可能奇异势的守恒相场系统的最优控制
偏微分方程分析
2017-09-12 v2
摘要
本文研究一类具有可能奇异势的守恒型相场系统的分布控制问题。我们主要处理两种情况：在有界域上对数型势情况下相变量的粘性Cahn-Hilliard型动力学，以及无界域上正则势（例如经典双势阱势）情况下的标准Cahn-Hilliard方程。在数据的自然假设下导出了必要的一阶最优性条件。
引用
@article{arxiv.1709.02269,
title = {Optimal control for a conserved phase field system with a possibly singular potential},
author = {P. Colli and G. Gilardi and G. Marinoschi and E. Rocca},
journal= {arXiv preprint arXiv:1709.02269},
year = {2017}
}
备注
The interested reader can also see the related preprint arXiv:1410.6718 addressed to the non-conserved phase field system. The results contained in arXiv:1410.6718 can be compared with the ones proved in the present paper