Elliptic PDEs on Compact Ricci Limit Spaces and Applications
Shouhei Honda
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.
Jahr:
2018
Auflage:
1
Verlag:
American Mathematical Society
Sprache:
english
Seiten:
104
ISBN 10:
1470444178
ISBN 13:
9781470444174
Serien:
Memoirs of the American Mathematical Society Ser.
Datei:
PDF, 1.04 MB
IPFS:
,
english, 2018