Extremum Problems for Eigenvalues of Elliptic Operators (Frontiers in Mathematics) - Tapa blanda

Henrot, Antoine

 
9783764377052: Extremum Problems for Eigenvalues of Elliptic Operators (Frontiers in Mathematics)
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ISBN 10: 3764377054 ISBN 13: 9783764377052
Editorial: Birkhauser Basel, 2010

Sinopsis

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.

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Críticas

From the reviews:

"The book is a good collection of extremal problems for eigenvalues of elliptic operators and it gives a good account of the present state of research. It presents 30 open problems and is an absolutely necessary starting point for research work in this field. All proofs are strictly rigorous and the author refers for some other proofs to the bibliography, which contains 215 references. The material is interesting for specialists in both pure and applied mathematics, and can also be used in students' work."   ―Mathematical Reviews

“This is the first book devoted mainly to this subject and is therefore highly welcome. The book contains many interesting results, documents some recent progress and presents 30 open problems. ... The book will help the readers (pure and applied mathematicians interested in this area) to update their knowledge in this lively field of research.” (M. Hoffmann-Ostenhof, Monatshefte für Mathematik, Vol. 159 (3), February, 2010)

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhauser Basel
Año de publicación
2010
Idioma
Inglés
ISBN 10 
3764377054
ISBN 13 
9783764377052
Encuadernación
Tapa blanda
Número de páginas
214
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783764391430: Extremum Problems for Eigenvalues of Elliptic Operators

Edición Destacada

ISBN 10:  376439143X ISBN 13:  9783764391430
Editorial: Springer, 2008
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