Spectral Analysis on Graph-like Spaces
Small-radius tubular structures have attracted considerable attention in the last few years, and are frequently used in different areas such as Mathematical Physics, Spectral Geometry and Global Analysis. In this monograph, we analyse Laplace-like operators on thin tubular structures ("graph-...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2012. |
| Serie: | Lecture Notes in Mathematics
2039 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 443 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spectral analysis on graph-like spaces, Olaf Post, Heidelberg, Springer, 2012, 1 vol. (XV-431 p.), Lecture notes in mathematics, 978-3-642-23839-0 |
| LEADER | 03999nam a22005897a 4500 | ||
|---|---|---|---|
| 001 | 974131 | ||
| 008 | 120309q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN159084814 | ||
| 020 | |a 9783642238406 | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 082 | |a 515.782 | ||
| 084 | |a 35Pxx. 2010 | ||
| 084 | |a 47A10. 2010 | ||
| 084 | |a 35J25. 2010 | ||
| 084 | |a 05C50. 2010 | ||
| 084 | |a 34B45. 2010 | ||
| 084 | |a 47F05. 2010 | ||
| 084 | |a 58J50. 2010 | ||
| 100 | 1 | |a Post, Olaf, |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Spectral Analysis on Graph-like Spaces |c Olaf Post. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2039 |x 1617-9692 | |
| 500 | |a L'impression du document génère 443 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 1 Introduction 2 Graphs and associated Laplacians 3 Scales of Hilbert space and boundary triples 4 Two operators in different Hilbert spaces 5 Manifolds, tubular neighbourhoods and their perturbations 6 Plumber's shop: Estimates for star graphs and related spaces 7 Global convergence results. | |
| 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. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Small-radius tubular structures have attracted considerable attention in the last few years, and are frequently used in different areas such as Mathematical Physics, Spectral Geometry and Global Analysis. In this monograph, we analyse Laplace-like operators on thin tubular structures ("graph-like spaces''), and their natural limits on metric graphs. In particular, we explore norm resolvent convergence, convergence of the spectra and resonances. Since the underlying spaces in the thin radius limit change, and become singular in the limit, we develop new tools such as -norm convergence of operators acting in different Hilbert spaces, - an extension of the concept of boundary triples to partial differential operators, and -an abstract definition of resonances via boundary triples. These tools are formulated in an abstract framework, independent of the original problem of graph-like spaces, so that they can be applied in many other situations where the spaces are perturbed. | ||
| 650 | |a Théorie spectrale (mathématiques) | ||
| 650 | |a Convergence (mathématiques) | ||
| 650 | |a Hilbert, Espaces de | ||
| 650 | |a Opérateurs différentiels | ||
| 650 | |a Théorie des graphes | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Espaces généralisés | ||
| 776 | 0 | |0 158087755 |t Spectral analysis on graph-like spaces |f Olaf Post |c Heidelberg |n Springer |d 2012 |p 1 vol. (XV-431 p.) |s Lecture notes in mathematics |z 978-3-642-23839-0 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-23840-6 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-GJKWMFMZ-K |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750603844 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-23840-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753964058 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-23840-6 |z Accès INSA CVL | |
| 997 | |0 974131 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||