A Shape Optimal Control Problem with Changing Sign Data

DOI10.1137/17M1126564zbMath1391.49079arXiv1704.06490OpenAlexW2803016632MaRDI QIDQ4640172

Bozhidar Velichkov, Giusseppe Buttazzo

Publication date: 16 May 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06490

zbMATH Keywords

stochastic optimizationshape optimizationfree boundarycapacitary measures

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Optimality conditions for problems involving randomness (49K45)

Related Items (5)

Epsilon-regularity for the solutions of a free boundary system ⋮ Optimal potentials for problems with changing sign data ⋮ On the Existence of Optimal Potentials on Unbounded Domains ⋮ Shape optimization problems in control form ⋮ Existence and regularity of optimal shapes for elliptic operators with drift

Cites Work

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• Variation and optimization of formes. A geometric analysis
• The spectral drop problem
• A deterministic approximation method in shape optimization under random uncertainties
• Sur la régularité de la solution d'inéquations elliptiques
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