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Shape optimization and spectral theory

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Bibliographic Details
Other Authors: Henrot, Antoine 1957- [Editor]
Type of Resource: E-Book
Language: English
Warsaw, Berlin De Gruyter Open [2017]
Source: Verbunddaten SWB
Lizenzfreie Online-Ressourcen
ISBN: 9783110551181
Summary: „Shape optimization and spectral theory” is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimization.It covers most of the issues which are important for people working in PDE and differential geometry interested in sharp inequalities and qualitative behaviour for eigenvalues of the Laplacian with different kind of boundary conditions (Dirichlet, Robin and Steklov). This includes: existence of optimal shapes, their regularity, the case of special domains like triangles, isospectrality, quantitative form of the isoperimetric inequalities, optimal partitions, universal inequalities and numerical results.Much progress has been made in these extremum problems during the last ten years and this edited volume presents a valuable update to a wide community interested in these topics. List of contributorsAntunes Pedro R.S., Ashbaugh Mark, Bonnaillie-Noël Virginie, Brasco Lorenzo, Bucur Dorin, Buttazzo Giuseppe,? De? Philippis? Guido,? Freitas? Pedro,? Girouard? Alexandre,? Helffer? Bernard,? Kennedy? James, Lamboley? Jimmy,? Laugesen? Richard? S.,? Oudet? Edouard,? Pierre? Michel,? Polterovich? Iosif,? Siudeja Bartłomiej A., Velichkov Bozhidar
Item Description: Erscheint als Open Access bei De Gruyter
Physical Description: 1 Online-Ressource
ISBN: 9783110551181
DOI: 10.1515/9783110550887
Access: Open Access