Shape optimization and spectral theory
„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...
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| Hoofdauteur: | |
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| Formaat: | Online |
| Taal: | Engels |
| Gepubliceerd in: |
De Gruyter
2021
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| Onderwerpen: | |
| Online toegang: | 23256 |
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| _version_ | 1869529931154718720 |
|---|---|
| author | Henrot, Antoine |
| author_browse | Henrot, Antoine |
| author_facet | Henrot, Antoine |
| author_sort | Henrot, Antoine |
| collection | Directory of Open Access Books |
| description | „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. |
| format | Online |
| id | doab-20.500.12854ir-59310 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | De Gruyter |
| publisherStr | De Gruyter |
| record_format | ojs |
| spelling | doab-20.500.12854ir-593102023-12-20T18:40:37Z Shape optimization and spectral theory Henrot, Antoine QA1-939 bic Book Industry Communication::P Mathematics & science „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. 2021-02-12T03:29:34Z 2021-02-12T03:29:34Z 2017-08-10 14:52:08 2017 book 23256 9783110551181 9783110550887 https://directory.doabooks.org/handle/20.500.12854/59310 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://doi.org/10.1515/9783110550887 De Gruyter 10.1515/9783110550887 10.1515/9783110550887 af2fbfcc-ee87-43d8-a035-afb9d7eef6a5 9783110551181 9783110550887 474 open access |
| spellingShingle | QA1-939 bic Book Industry Communication::P Mathematics & science Henrot, Antoine Shape optimization and spectral theory |
| title | Shape optimization and spectral theory |
| title_full | Shape optimization and spectral theory |
| title_fullStr | Shape optimization and spectral theory |
| title_full_unstemmed | Shape optimization and spectral theory |
| title_short | Shape optimization and spectral theory |
| title_sort | shape optimization and spectral theory |
| topic | QA1-939 bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 bic Book Industry Communication::P Mathematics & science |
| url | 23256 |
| work_keys_str_mv | AT henrotantoine shapeoptimizationandspectraltheory |