Extremum Problems for Eigenvalues of Elliptic Operators / Edition 1

Extremum Problems for Eigenvalues of Elliptic Operators / Edition 1

by Antoine Henrot
     
 

ISBN-10: 3764377054

ISBN-13: 9783764377052

Pub. Date: 07/18/2006

Publisher: Birkhauser Basel

This book focuses on extremal problems. For instance, it seeks a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. Also considered is the case of functions of eigenvalues. The text probes similar questions for other elliptic operators, such as Schrodinger, and explores

Overview

This book focuses on extremal problems. For instance, it seeks a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. Also considered is the case of functions of eigenvalues. The text probes similar questions for other elliptic operators, such as Schrodinger, and explores optimal composites and optimal insulation problems in terms of eigenvalues.

Product Details

ISBN-13:
9783764377052
Publisher:
Birkhauser Basel
Publication date:
07/18/2006
Series:
Frontiers in Mathematics Series
Edition description:
2006
Pages:
202
Product dimensions:
6.69(w) x 9.61(h) x 0.02(d)

Table of Contents

Eigenvalues of elliptic operators.- Tools.- The first eigenvalue of the Laplacian-Dirichlet.- The second eigenvalue of the Laplacian-Dirichlet.- The other Dirichlet eigenvalues.- Functions of Dirichlet eigenvalues.- Other boundary conditions for the Laplacian.- Eigenvalues of Schrödinger operators.- Non-homogeneous strings and membranes.- Optimal conductivity.- The bi-Laplacian operator.

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