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Elliptic PDEs on Compact Ricci Limit Spaces and Applications Book PDF 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.

Detail Book of Elliptic PDEs on Compact Ricci Limit Spaces and Applications PDF

Elliptic PDEs on Compact Ricci Limit Spaces and Applications
  • Author : Shouhei Honda
  • Release : 20 September 2024
  • Publisher : Unknown
  • ISBN : 1470444178
  • Genre : MATHEMATICS
  • Total Page : 92 pages
  • Language : English
  • PDF File Size : 20,6 Mb

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