Existence and Regularity Results for Some Shape Optimization Problems

Name: Existence and Regularity Results for Some Shape Optimization Problems
Brand: Birkhauser Verlag AG
SKU: 9788876425264
Price: 440 CZK
Availability: InStock

Autor: Bozhidar Velichkov

Jazyk:

Vazba: Brožovaná

Vydavatel: Birkhauser Verlag AG

Dostupnost: Skladem u dodavatele

Odesíláme za 5-8 dnů

440 Kč

żWe study the existence and regularity of optimal domains for functionals depending on the spectrum...

Informace o knize

Autor

Bozhidar Velichkov

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2015

Stránek

349

EAN

9788876425264

ISBN

9788876425264

Enbook ID

03606893

Vydavatel

Birkhauser Verlag AG

Hmotnost

635

Rozměry

150 x 240 x 28

Kompletní popis

żWe 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

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