Shape optimization and spectral theory

Shape optimization and spectral theory

EnglishHardbackPrint on demand
Henrot Antoine
De Gruyter
EAN: 9783110550856
Print on demand
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Detailed information

„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 contributors Antunes 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
EAN 9783110550856
ISBN 3110550857
Binding Hardback
Publisher De Gruyter
Publication date May 8, 2017
Pages 474
Language English
Dimensions 240 x 170
Country Germany
Readership Professional & Scholarly
Authors Henrot Antoine
Illustrations 31 b/w and 32 col. ill., 6 b/w tbl.