Shape Optimization and Spectral Theory.

Bibliographic Details
Main Author: Henrot, Antoine.
Format: eBook
Language:English
Published: Warschau/Berlin : Walter de Gruyter GmbH, 2017.
Edition:1st ed.
Subjects:
Online Access:Click to View
Table of Contents:
  • Intro
  • 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.