A class of Dirichlet forms generated by pseudo differential operators.
A convergence theorem for Dirichlet forms with applications to boundary value problems with varying domains.
A dual characterization of length spaces with application to Dirichlet metric spaces
We show that under minimal assumptions, the intrinsic metric induced by a strongly local Dirichlet form induces a length space. The main input is a dual characterization of length spaces in terms of the property that the 1-Lipschitz functions form a sheaf.
A recurrence condition for some subordinated strongly local Dirichlet forms.
A Regular Metrizable Boundary for Solutions of Elliptic and Parabolic Differential Equations.
Admissible functions for the Dirichlet space
Zero sets and uniqueness sets of the classical Dirichlet space are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for . Then we discuss the relation between the zero sets of and those of .
Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
Approximation of arbitrary Dirichlet processes by Markov chains