Extremum problems for eigenvalues of elliptic operators
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 eigenval...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Basel :
Birkhäuser Basel
2006.
Cham : Springer Nature |
| Edice: | Frontiers in Mathematics
|
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Extremum Problems for Eigenvalues of Elliptic Operators, Texte imprimé, 9783764391430 • Extremum problems for eigenvalues of elliptic operators, Antoine Henrot, 2006, Basel, Birkhaüser, 1 vol. (X-202 p.), Frontiers in Mathematics, 978-3-7643-7705-2 |
Obsah:
- 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 Schrödinger operators
- Non-homogeneous strings and membranes
- Optimal conductivity
- The bi-Laplacian operator.