Existence and Regularity Results for Some Shape Optimization Problems

Existence and Regularity Results for Some Shape Optimization Problems
Author :
Publisher : Springer
Total Pages : 362
Release :
ISBN-10 : 9788876425271
ISBN-13 : 8876425276
Rating : 4/5 (276 Downloads)

Book Synopsis Existence and Regularity Results for Some Shape Optimization Problems by : Bozhidar Velichkov

Download or read book Existence and Regularity Results for Some Shape Optimization Problems written by Bozhidar Velichkov and published by Springer. This book was released on 2015-03-21 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​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.


Existence and Regularity Results for Some Shape Optimization Problems Related Books

Existence and Regularity Results for Some Shape Optimization Problems
Language: en
Pages: 362
Authors: Bozhidar Velichkov
Categories: Mathematics
Type: BOOK - Published: 2015-03-21 - Publisher: Springer

DOWNLOAD EBOOK

​We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger
New Trends in Shape Optimization
Language: en
Pages: 312
Authors: Aldo Pratelli
Categories: Mathematics
Type: BOOK - Published: 2015-12-01 - Publisher: Birkhäuser

DOWNLOAD EBOOK

This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen
Regularity of the One-phase Free Boundaries
Language: en
Pages: 249
Authors: Bozhidar Velichkov
Categories: Mathematics
Type: BOOK - Published: 2023-02-24 - Publisher: Springer Nature

DOWNLOAD EBOOK

This open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of parti
Non-Smooth and Complementarity-Based Distributed Parameter Systems
Language: en
Pages: 518
Authors: Michael Hintermüller
Categories: Mathematics
Type: BOOK - Published: 2022-02-18 - Publisher: Springer Nature

DOWNLOAD EBOOK

Many of the most challenging problems in the applied sciences involve non-differentiable structures as well as partial differential operators, thus leading to n
Recent Advances in Partial Differential Equations and Applications
Language: en
Pages: 418
Authors: Vicenţiu D. Rădulescu
Categories: Mathematics
Type: BOOK - Published: 2016-06-28 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão da Veiga's 70th birth