A parabolic shape optimization problem

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 sub-ject. © 2020, Publishing House of the Romanian Academy. All rights reserved.

Authors
Tiba D.1 , Yamamoto M. 2, 3
Journal
Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications
Publisher
Publishing House of the Romanian Academy
Number of issue
1-2
Language
English
Pages
312-328
Status
Published
Link
External link
Volume
12
Year
2020
Organizations
  • 1 Institute of Mathematics, Romanian Academy and Academy of Romanian Scientists, Bucharest, Romania
  • 2 Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Meguro, Tokyo, 153-8914, Japan
  • 3 Academy of Romanian Scientists and Peoples’ Friendship University of Russia, Russian Federation
Keywords
Approximation; Controllability; Hedberg-Keldys stability; Optimal control; Optimal design
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