Shape Optimization and Spectral Theory - Couverture rigide

Henrot, Antoine

Couverture rigide

ISBN 10 : 3110550857 ISBN 13 : 9783110550856

Editeur : De Gruyter, 2017

Synopsis

"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 Bartlomiej A., Velichkov Bozhidar

A propos du livre

À propos de l'auteur

Antoine Henrot, Universite de Lorraine and Ecole des Mines de Nancy, France

Détails de l'édition

• Éditeur: De Gruyter
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 3110550857
• ISBN 13: 9783110550856
• Reliure: Relié
• Nombre de pages: 474
• Coordonnées du fabricant: Walter de Gruyter GmbH; productsafety@degruyterbrill.com; ; Genthiner Straße 13; Berlin; 10785; Allemagne