Name: Existence and Regularity Results for Some Shape Optimization Problems
SKU: 57721504
Price: 858.00 TWD
Availability: InStock
Author: Velichkov, Bozhidar
ISBN: 9788876425264

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portada Existence and Regularity Results for Some Shape Optimization Problems

Existence and Regularity Results for Some Shape Optimization Problems

Type

Physical Book

Author

Bozhidar Velichkov

Publisher

Edizioni Della Normale

Language

English

Pages

349

Format

Paperback

Dimensions

23.9x15.2x2.8 cm

Weight

0.64 kg.

ISBN13

9788876425264

Synopsis "Existence and Regularity Results for Some Shape Optimization Problems"

We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger operators. The domains are subject to perimeter and volume constraints; we also take into account the possible presence of geometric obstacles. We investigate the properties of the optimal sets and of the optimal state functions. In particular, we prove that the eigenfunctions are Lipschitz continuous up to the boundary and that the optimal sets subject to the perimeter constraint have regular free boundary. We also consider spectral optimization problems in non-Euclidean settings and optimization problems for potentials and measures, as well as multiphase and optimal partition problems.

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Existence and Regularity Results for Some Shape Optimization Problems - Velichkov, Bozhidar

Synopsis "Existence and Regularity Results for Some Shape Optimization Problems"

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