Cargando…
Elliptic PDEs on compact Ricci limit spaces and applications /
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 Schrödinger operators, genera...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2018]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1211. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1038831974 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 180606t20182018riu ob 000 0 eng d | ||
| 040 | |a GZM |b eng |e rda |e pn |c GZM |d YDX |d COD |d EBLCP |d YDX |d N$T |d UIU |d OCLCF |d IDB |d INT |d AU@ |d OCLCQ |d COO |d OCLCQ |d OCLCA |d OCLCQ |d UKAHL |d OCLCQ |d K6U |d OCLCO |d TXI |d OCLCQ |d OCLCO |d OCLCL | ||
| 020 | |a 9781470444174 |q (electronic bk.) | ||
| 020 | |a 1470444178 |q (electronic bk.) | ||
| 020 | |z 9781470428549 |q (alk. paper) | ||
| 020 | |z 1470428547 |q (alk. paper) | ||
| 029 | 1 | |a AU@ |b 000069667180 | |
| 035 | |a (OCoLC)1038831974 | ||
| 050 | 4 | |a QA3 |b .A57 no. 1211 | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 082 | 0 | 4 | |a 515/.3533 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Honda, Shouhei, |d 1981- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjvftDT6rq4tVXqkkD4tqP | |
| 245 | 1 | 0 | |a Elliptic PDEs on compact Ricci limit spaces and applications / |c Shouhei Honda. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2018] | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (v, 92 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v volume 253, number 1211 | |
| 500 | |a "May 2018, volume 253, number 1211 (sixth of 7 numbers)." | ||
| 520 | |a 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 Schrödinger 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. | ||
| 504 | |a Includes bibliographical references (pages 89-92). | ||
| 505 | 0 | |a Introduction -- Preliminaries -- Lp-convergence revisited -- Poisson's equations -- Schrödinger operators and generalized Yamabe constants -- Rellich type compactness for tensor fields -- Differential forms. | |
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Differential equations, Elliptic. | |
| 650 | 0 | |a Spaces of constant curvature. | |
| 650 | 6 | |a Géométrie différentielle. | |
| 650 | 6 | |a Équations différentielles elliptiques. | |
| 650 | 6 | |a Espaces à courbure constante. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Elliptic |2 fast | |
| 650 | 7 | |a Geometry, Differential |2 fast | |
| 650 | 7 | |a Spaces of constant curvature |2 fast | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Elliptic PDEs on compact Ricci limit spaces and applications (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGHwHHrFtWG6vjKQgQ3rVP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Honda, Shouhei. |t Elliptic PDEs on compact Ricci limit spaces and applications |z 9781470428549 |w (OCoLC)1035848889 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1211. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5409179 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445168 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL5409179 | ||
| 938 | |a EBSCOhost |b EBSC |n 1824504 | ||
| 938 | |a YBP Library Services |b YANK |n 15498902 | ||
| 994 | |a 92 |b IZTAP | ||