Kazuhiro Kuwae (Yokohama City University)
On Calabi's strong maximum principle via local semi-Dirichlet forms
Abstract.
I will talk about an extension of E. Calabi's strong maximum principle
in the framework of strong Feller diffusion processes
associated with local regular semi-Dirichlet forms.
The proof is quite stochastic and the result can be applicable to
the Gromov-Hausdorff limit spaces over compact Riemannian manifolds
with uniform bound of diameter and uniform lower bound of Ricci
curvature.
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