A PARABOLIC SHAPE OPTIMIZATION PROBLEM


Dan Tiba, Masahiro Yamamoto‡§ 

Abstract: In this article, we discuss some approximation methods for optimal design problems governed by evolution equations of parabolic type. The two investigated approaches are of fixed domain type. We also formulate supplementary questions and problems, related to this subject.
MSC: 49M41, 49Q10
keywords: optimal design, optimal control, controllability, HedbergKeldys stability, approximation

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DOI   10.56082/annalsarscimath.2020.1-2.312

dan.tiba@imar.ro Institute of Mathematics, Romanian Academy and Academy of Romanian Scientists, Bucharest, Romania

 myamac@ms.u-tokyo.ac.jp Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Meguro, Tokyo 153-8914, Japan, 

§Honorary Member of Academy of Romanian Scientists and Peoples’ Friendship University of Russia, Russian Federation


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 12 no 1-2, 2020