Elliptic PDEs on compact Ricci limit spaces and applications / Shouhei Honda.
| Author/creator | Honda, Shouhei, 1981- |
| Format | Electronic |
| Publication Info | Providence, RI : American Mathematical Society, [2018] |
| Description | 92 pages ; 26 cm. |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Supplemental Content | Full text available from Memoirs of the American Mathematical Society |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; volume 253, number 1211 |
| Contents | Preliminaries -- Lp-convergence revisited -- Poisson's equations -- Rellich type compactness for tensor fields -- Differential forms. |
| Abstract | "In this paper we study elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular we establish continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schr©œdinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. We apply these to the study of second-order differential calculus on such limit spaces"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references (pages 89-92). |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2018020536 |
| ISBN | 9781470428549 (pbk. ; acid-free paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |