Elliptic PDEs on compact Ricci limit spaces and applications

By:

Honda, Shouhei

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

Subject(s):

DDC classification:

516.362 HON

Summary: "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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Holdings
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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