Heat kernels for time-dependent non-symmetric mixed Lévy-type operators

Published 7 Oct 2020 in math.AP | (2010.03687v1)

Abstract: In this paper we establish the existence and uniqueness of heat kernels to a large class of time-inhomogenous non-symmetric nonlocal operators with Dini's continuous kernels. Moreover, quantitative estimates including two-sided estimates, gradient estimate and fractional derivative estimate of the heat kernels are obtained.

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