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...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Basel :
Birkhäuser Basel
2006.
Cham : Springer Nature |
| Serier: | Frontiers in Mathematics
|
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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 |
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| 100 | 1 | |a Henrot, Antoine, |d 1957-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Extremum problems for eigenvalues of elliptic operators |c by Antoine Henrot. |
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c 2006. | ||
| 490 | 0 | |a Frontiers in Mathematics |x 1660-8054 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 Schrödinger 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. | ||
| 650 | |a Opérateurs linéaires | ||
| 650 | |a Opérateurs elliptiques | ||
| 650 | |a Équation de Schrödinger | ||
| 776 | 0 | |t Extremum Problems for Eigenvalues of Elliptic Operators |b Texte imprimé |z 9783764391430 | |
| 776 | 0 | |0 11056734X |t Extremum problems for eigenvalues of elliptic operators |f Antoine Henrot |d 2006 |c Basel |n Birkhaüser |p 1 vol. (X-202 p.) |s Frontiers in Mathematics |z 978-3-7643-7705-2 | |
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