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Item Details
| Title:
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ON SPECTRAL THEORY OF ELLIPTIC OPERATORS
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| By: |
Yuri V. Egorov, Vladimir A. Kondratiev |
| Format: |
Hardback |
| List price:
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£119.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3764353902 |
| ISBN 13: |
9783764353902 |
| Publisher: |
BIRKHAUSER VERLAG AG |
| Pub. date: |
30 July, 1996 |
| Edition: |
1996 ed. |
| Series: |
Operator Theory: Advances and Applications 89 |
| Pages: |
334 |
| Description: |
Contains results obtained by the authors in 1980-1992 which relate to estimates of the first eigenvalue and the negative spectrum of the Schrodinger operator, as well as to estimates of eigenvalues and eigenfunctions. |
| Synopsis: |
It is well known that a wealth of problems of different nature, applied as well as purely theoretic, can be reduced to the study of elliptic equations and their eigen-values. During the years many books and articles have been published on this topic, considering spectral properties of elliptic differential operators from different points of view. This is one more book on these properties. This book is devoted to the study of some classical problems of the spectral theory of elliptic differential equations. The reader will find hardly any intersections with the books of Shubin [Sh] or Rempel-Schulze [ReSch] or with the works cited there. This book also has no general information in common with the books by Egorov and Shubin [EgShu], which also deal with spectral properties of elliptic operators. There is nothing here on oblique derivative problems; the reader will meet no pseudodifferential operators. The main subject of the book is the estimates of eigenvalues, especially of the first one, and of eigenfunctions of elliptic operators. The considered problems have in common the approach consisting of the application of the variational principle and some a priori estimates, usually in Sobolev spaces. In many cases, impor- tant for physics and mechanics, as well as for geometry and analysis, this rather elementary approach allows one to obtain sharp results. |
| Illustrations: |
X, 334 p. |
| Publication: |
Switzerland |
| Imprint: |
Birkhauser Verlag AG |
| Returns: |
Returnable |
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