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

Existence and Regularity Results for Some Shape Optimization Problems

Limbă: engleză
Legare: Carte broșată
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
100.70 lei
żWe study the existence and regularity of optimal domains for functionals depending on the spectrum...

Informații despre carte

Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2015
Pagini
349
EAN
9788876425264
ISBN
9788876425264
Enbook ID
03606893
Greutate
635
Dimensiuni
150 x 240 x 28

Descriere completă

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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