Shape optimization and spectral theory / Antoine Henrot
データ種別 | 電子ブック |
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出版情報 | Warsaw ; Berlin : De Gruyter Open , [2017] |
本文言語 | 英語 |
大きさ | 1 online resource |
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資料種別 | 機械可読データファイル |
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一般注記 | „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 In English Includes bibliographical references (pages 413-461) and index Online resource; title from PDF title page (publisher's Web site, viewed May. 17, 2017) |
著者標目 | *Henrot, Antoine. |
件 名 | LCSH:Geometry, Algebraic LCSH:Mathematical optimization LCSH:Shapes BISACSH:MATHEMATICS / Optimization FREE:Geometry, Algebraic FREE:Mathematical optimization FREE:Shapes BSH:Electronic books |
分 類 | DC23:100 |
書誌ID | ED00002041 |
ISBN | 3110550881 |