Książka Existence and Regularity Results for Some Shape Optimization Problems Bozhidar Velichkov

Existence and Regularity Results for Some Shape Optimization Problems

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
77.03
żWe study the existence and regularity of optimal domains for functionals depending on the spectrum...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2015
strony
349
EAN
9788876425264
ISBN
9788876425264
Enbook ID
03606893
Waga
635
Wymiary
150 x 240 x 28

Pełny opis

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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