Uniform Complex Time Heat Kernel Estimates Without Gaussian Bounds

Shiliang Zhao, Quan Zheng

In this paper, first we consider the uniform complex time heat kernel estimates of $e^{-z(-\Delta {)}^{\frac{\alpha }{2}}}$ for $\alpha >0,z\in {\mathbb{C}}^{+}$. When $\frac{\alpha }{2}$ is not an integer, genera…