Elliptic PDEs on compact Ricci limit spaces and applications
Series: Memoirs of the American Mathematical Society; ISSN: 0065-9266; Vol. 253, No.1211Publication details: American Mathematical Society, 2018 Providence:Description: v; 92p. pb; 26 cmISBN:- 9781470428549
- 516.362 HON
Item type | Current library | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|
Books | IIT Gandhinagar | 516.362 HON (Browse shelf(Opens below)) | 1 | Available | 028220 |
"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"--
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