Existence and Regularity Results for Some Shape Optimization Problems Paperback / softback
by Bozhidar Velichkov
Part of the Theses (Scuola Normale Superiore) series
Paperback / softback
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Description
?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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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:349 pages, XVI, 349 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:15/04/2015
- Category:
- ISBN:9788876425264
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- PDF from £14.44
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:349 pages, XVI, 349 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:15/04/2015
- Category:
- ISBN:9788876425264