Time-dependent gradient perturbations of fractional Laplacian

Abstract

We construct a fundamental solution of the equation {partial_t - Delta^{alpha/2} - b(cdot, cdot) cdotnabla_{x} = 0} for TeX{alpha in (1, 2)} and b satisfying a certain integral space-time condition. We also show it has α-stable upper and lower bounds

Similar works

This paper was published in Okina.

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