| 000 -LEADER |
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| fixed length control field |
02433nam a22003255i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-3-7643-7706-9 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20161121231036.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100301s2006 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783764377069 |
| -- |
978-3-7643-7706-9 |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1007/3-7643-7706-2 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA329-329.9 |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBKF |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT037000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.724 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Henrot, Antoine. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Extremum Problems for Eigenvalues of Elliptic Operators |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Antoine Henrot. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Basel : |
| Name of producer, publisher, distributor, manufacturer |
Birkh�user Basel, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2006. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
X, 202 p. 16 illus. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda1 |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Frontiers in Mathematics, |
| International Standard Serial Number |
1660-80460 |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
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 Schr�dinger operators -- Non-homogeneous strings and membranes -- Optimal conductivity -- The bi-Laplacian operator. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Problems linking the shape of a domain or the coefficients of an elliptic operator to the sequence of its eigenvalues are among the most fascinating of mathematical analysis. In this book, we focus on extremal problems. For instance, we look for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. We also consider the case of functions of eigenvalues. We investigate similar questions for other elliptic operators, such as the Schr�dinger operator, non homogeneous membranes, or the bi-Laplacian, and we look at optimal composites and optimal insulation problems in terms of eigenvalues. Providing also a self-contained presentation of classical isoperimetric inequalities for eigenvalues and 30 open problems, this book will be useful for pure and applied mathematicians, particularly those interested in partial differential equations, the calculus of variations, differential geometry, or spectral theory. 0 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| International Standard Book Number |
9783764377052 0 |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| International Standard Serial Number |
1660-804640 |
