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Dirichlet forms and heat kernels

Link to faculty eProfessional résumé

Nageswari Shanmugalingam

Professor A&S Mathematical Sciences
McMicken College of Arts and Sciences
shanmun@ucmail.uc.edu

This project studies properties of metric measure spaces and their curvature conditions when equipped with a (bilinear) Dirichlet form that yields a heat kernel of Gaussean type. Issues such as regularities of harmonic functions, characterizations of BV functions are studied.

Project commenced on February 1, 2002

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