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Heat kernel for reflected diffusion and extension property on uniform domains

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  • UserMathav Murugan (University of British Columbia)
  • ClockThursday 08 August 2024, 15:30-16:30
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SSDW02 - Stochastic reflection

I report recent progress on heat kernel estimates for reflected diffusion on uniform domains where the underlying space admits sub-Gaussian heat kernel bounds. A key novelty of our work is the use of an extension operator that extends functions from the domain of the Dirichlet form for the reflected diffusion to that of the diffusion in the ambient space.

This talk is part of the Isaac Newton Institute Seminar Series series.

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