On shape optimization and the Pompeiu problem
Arunas Grigelionis
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.
Create a lesson
Related papers
Risk-Sensitive Stochastic Optimal Control on Positive Cones
Mohamad Al Ahdab, John-Josef Leth
Deterministic Oracle Complexity for Goldstein Stationarity in Nonsmooth Nonconvex Optimization with Constraints
Yixi Ding, Ya-xiang Yuan
Technical Report: Partially Asynchronous Distributed Optimization on Riemannian Manifolds
Adam Pooley, William Warke, Matthew T. Hale
Multi-Step Performance Estimation for Gradient Descent under the Polyak Lojasiewicz Condition
Wanli Hong, Shuyang Ling
Robust Markov Decision Processes: An Introduction Using Convex Optimization and Game Theory
Julien Grand-Clément
Dual-Mode Extremum Seeking for Diffusion Systems with Boundary-Cost Feedback
Martin Guay, Denis Dochain