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(Ebook) Elliptic PDEs on Compact Ricci Limit Spaces and Applications by Shouhei Honda ISBN 9781470444174, 1470444178

  • SKU: EBN-51631732
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4.8

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Instant download (eBook) Elliptic PDEs on Compact Ricci Limit Spaces and Applications after payment.
Authors:Shouhei Honda
Pages:104 pages.
Year:2018
Editon:1
Publisher:American Mathematical Society
Language:english
File Size:1.04 MB
Format:pdf
ISBNS:9781470444174, 1470444178
Categories: Ebooks

Product desciption

(Ebook) Elliptic PDEs on Compact Ricci Limit Spaces and Applications by Shouhei Honda ISBN 9781470444174, 1470444178

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 Schr�dinger 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.
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