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Green Measures for Nonlocal Diffusion Equations

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FD2W02 - Fractional kinetics, hydrodynamic limits and fractals

In this talk we present Green measures of certain classes of Markov processes. In particular Brownian motion and processes with jump generators with different tails. The Green measures are represented as a sum of a singular and a regular part given in terms of the jump generator. The main technical issue is to obtain a bound for the regular part. Several classes of jump kernels will be analysed. In addition we also investigate Green measure for time changed Markov processes where time is given by he inverse of a subordinator (most interesting case). Here the notion of renormalised Green measure is needed to obtain a well defined object.

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

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