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Extremum Problems for Eigenvalues of Elliptic Operators (2006)
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Extremum Problems for Eigenvalues of Elliptic Operators (2006)

by Antoine Henrot
No customer reviews yet ISBN 9783764377052 Birkhäuser
Published
Jul 2006
Language
English
Size
9.45 × 0.51 × 6.69 in
$62.66
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About this book

Problems linking the shape of a domain or the coefficients of an elliptic operator to the sequence of its eigenvalues are among the most fascinating of mathematical analysis. In this book, we focus on extremal problems. For instance, we look for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. We also consider the case of functions of eigenvalues. We investigate similar questions for other elliptic operators, such as the Schrödinger operator, non homogeneous membranes, or the bi-Laplacian, and we look at optimal composites and optimal insulation problems in terms of eigenvalues.

Providing also a self-contained presentation of classical isoperimetric inequalities for eigenvalues and 30 open problems, this book will be useful for pure and applied mathematicians, particularly those interested in partial differential equations, the calculus of variations, differential geometry, or spectral theory.

Specifications

PublisherBirkhäuser
PublishedJul 18, 2006
ISBN-103764377054
ISBN-139783764377052
LanguageEnglish
Dimensions9.45 × 0.51 × 6.69 in
Weight2 lb

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