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...

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Bibliographic Details
Main Author:	Henrot, Antoine
Corporate Author:	Walter de Gruyter & Co
Format:	eBook
Language:	English
Language Notes:	In English.
Published:	Warsaw ; Berlin : De Gruyter Open, [2017]
Subjects:	Geometry, Algebraic. Mathematical optimization. Shapes. Géométrie algébrique. Optimisation mathématique. Formes. geometric shape. MATHEMATICS / Optimization. Geometry, Algebraic Mathematical optimization Shapes Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Frontmatter
Contents
1 Introduction
2 Existence results
3 Regularity of optimal spectral domains
4 The Robin problem
5 Spectral geometry of the Steklov problem
6 Triangles and Other Special Domains
7 Spectral inequalities in quantitative form
8 Universal Inequalities for the Eigenvalues of the Dirichlet Laplacian
9 Spectral optimization problems for Schrödinger operators
10 Nodal and spectral minimal partitions
The state of the art in 2016
11 Numerical results for extremal problem for eigenvalues of the Laplacian
Bibliography
Index