Stability of elliptic Harnack inequality
Preprint
Abstract
We prove that the elliptic Harnack inequality (on a manifold, graph, or suitably regular metric measure space) is stable under bounded perturbations, as well as rough isometries.Keywords
All Related Versions
This publication has 32 references indexed in Scilit:
- Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimateMathematische Annalen, 2007
- Harnack inequalities and sub-Gaussian estimates for random walksMathematische Annalen, 2002
- On Short Time Asymptotic Behavior of Some Symmetric Diffusions on General State SpacesPotential Analysis, 2002
- Second Order Equations of Elliptic and Parabolic Type1997
- Some Inequalities for Superharmonic Functions on GraphsPotential Analysis, 1997
- Differential equations on riemannian manifolds and their geometric applicationsCommunications on Pure and Applied Mathematics, 1975
- Harmonic functions on complete riemannian manifoldsCommunications on Pure and Applied Mathematics, 1975
- Harnack's inequality for elliptic differential equations on minimal surfacesInventiones Mathematicae, 1972
- On a pointwise estimate for parabolic differential equationsCommunications on Pure and Applied Mathematics, 1971
- A harnack inequality for parabolic differential equationsCommunications on Pure and Applied Mathematics, 1964