Existence and Regularity Results for Some Shape Optimization Problems is popular PDF and ePub book, written by Bozhidar Velichkov in 2015-03-21, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Existence and Regularity Results for Some Shape Optimization Problems can be Read Online from any device for your convenience.
Existence and Regularity Results for Some Shape Optimization Problems Book PDF Summary
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.
Detail Book of Existence and Regularity Results for Some Shape Optimization Problems PDF
- Author : Bozhidar Velichkov
- Release : 21 March 2015
- Publisher : Springer
- ISBN : 9788876425271
- Genre : Mathematics
- Total Page : 362 pages
- Language : English
- PDF File Size : 10,7 Mb
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