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arXiv · 2010.03687

Heat kernels for time-dependent non-symmetric mixed L\'evy-type operators

Zhen-Qing Chen·Xicheng Zhang
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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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Zhen-Qing Chen, Xicheng Zhang. 2020-10-07. Heat kernels for time-dependent non-symmetric mixed L\'evy-type operators. https://arxiv.org/abs/2010.03687

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