Extremum Problems for Eigenvalues of Elliptic Operators
Autor: | Antoine Henrot |
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EAN: | 9783764377069 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 29.08.2006 |
Kategorie: | |
Schlagworte: | Dirichlet operator Schrödinger operator eigenvalue elliptic operator extremum problems partial differential equation |
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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.