论文标题

用于时间依赖的非对称混合Lévy-type操作员的热核

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

论文作者

Chen, Zhen-Qing, Zhang, Xicheng

论文摘要

在本文中,我们将热核的存在和独特性与Dini的连续核相结合的大量时间内源非对称非对称非对称非对称性算子。此外,还获得了量化估计值,包括双面估计,梯度估计值和热核的分数衍生估计值。

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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