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

Henrot, Antoine

Softcover

ISBN 10: 3764377054 ISBN 13: 9783764377052

Publisher: Birkhäuser, 2006

Synopsis

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.

About this title

Review

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)

Edition details

• Publisher: Birkhäuser
• Publication date: 2006
• Language: English
• ISBN 10: 3764377054
• ISBN 13: 9783764377052
• Binding: Paperback
• Number of pages: 202