Representation of harmonic functions with respect to subordinate Brownian motion

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• Ivan Biocic (University of Zagreb)
• Friday 25 February 2022, 14:00-14:30
• Seminar Room 1, Newton Institute.

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FD2W01 - Deterministic and stochastic fractional differential equations and jump processes

In this talk, we prove a representation formula for non-negative generalized harmonic functions with respect to a subordinate Brownian motion in a general open set D⊂R^d. We also study oscillation properties of quotients of Poisson integrals and define the boundary (trace) operator connected to a large class of non-local integro-differential operators.

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

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