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: 3250 KES
Availability: OutOfStock
ISBN: 9788876425264

by Bozhidar Velichkov

Book Details

Format Paperback / softback

Book Series Publications of the Scuola Normale Superiore

ISBN-10 8876425268

ISBN-13 9788876425264

Publisher Birkhauser Verlag AG

Imprint Scuola Normale Superiore

Country of Manufacture CH

Country of Publication GB

Publication Date Apr 15th, 2015

Print length 349 Pages

Weight 514 grams

Dimensions 15.10 x 28.40 x 2.70 cms

Product Classification: Calculus of variations

KSh 3,250.00

Currently unavailable 0 in stock

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?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.

?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.

Get Existence and Regularity Results for Some Shape Optimization Problems by Bozhidar Velichkov at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Birkhauser Verlag AG and it has 349 pages.