Elliptic PDEs on Compact Ricci Limit Spaces and Applications
Seiten
2018
American Mathematical Society (Verlag)
978-1-4704-2854-9 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-2854-9 (ISBN)
- Titel ist leider vergriffen;
keine Neuauflage - Artikel merken
Examines elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrodinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian.
In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrodinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author applies these to the study of second-order differential calculus on such limit spaces.
In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrodinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author applies these to the study of second-order differential calculus on such limit spaces.
Shouhei Honda, Kyushu University, Fukuoka, Japan and Tohoku University, Sendai, Japan.
Introduction
Preliminaries
$L^p$-convergence revisited
Poisson's equations
Schrodinger operators and generalized Yamabe constants
Rellich type compactness for tensor fields
Differential forms
Bibliography.
| Erscheinungsdatum | 22.08.2018 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 200 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-4704-2854-7 / 1470428547 |
| ISBN-13 | 978-1-4704-2854-9 / 9781470428549 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 83,90
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 83,90
