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Shape optimization and spectral theory
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| Other Authors: | Henrot, Antoine 1957- [Editor] |
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| Type of Resource: | E-Book |
| Language: | English |
| published: |
Warsaw, Berlin
De Gruyter Open
[2017]
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| Subjects: | |
| Source: | Verbunddaten SWB Lizenzfreie Online-Ressourcen |
| ISBN: |
9783110551181
9783110550887 3110550881 3110551187 |
| License: |
| 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 |
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| Item Description: | Erscheint als Open Access bei De Gruyter |
| Physical Description: | 1 Online-Ressource |
| ISBN: |
9783110551181
9783110550887 3110550881 3110551187 |
| DOI: | 10.1515/9783110550887 |
| Access: | Open Access |