Extremum Problems for Eigenvalues of Elliptic Operators

Paperback Engels 2006 2006e druk 9783764377052
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783764377052
Taal:Engels
Bindwijze:paperback
Aantal pagina's:202
Uitgever:Birkhäuser Basel
Druk:2006

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Inhoudsopgave

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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        Extremum Problems for Eigenvalues of Elliptic Operators