Work

On shape optimization and the Pompeiu problem

Year: 2000

Type: preprint

Abstract: The Pompeiu problem is considered as shape optimization problem. We show stability of the ball which is the minimum point of related domain functional. The proof is based on shape derivative method. Stability of the ball for general domain functionals invariant under the rigid motions is discussed.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0012077

Author: Grigelionis, Arunas

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1562557597

Cites: 10

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Related to: 10