Elliptic PDEs on Compact Ricci Limit Spaces and Applications
Author:   Shouhei Honda
Publisher:   American Mathematical Society
ISBN:  

9781470428549


Pages:   88
Publication Date:   01 May 2018
Format:   Paperback
Availability:   In Print   Availability explained
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Elliptic PDEs on Compact Ricci Limit Spaces and Applications


Overview

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.

Full Product Details

Author:   Shouhei Honda
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.200kg
ISBN:  

9781470428549


ISBN 10:   1470428547
Pages:   88
Publication Date:   01 May 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Author Information

Shouhei Honda, Kyushu University, Fukuoka, Japan and Tohoku University, Sendai, Japan.

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Latest Reading Guide

NOV RG 20252

 

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