@article{3abaf9b8c064417ca9a54c517318c7a6,
title = "Gradient estimates for the fundamental solution of L{\'e}vy type operator",
abstract = "We prove a gradient estimate and the H{\"o}lder continuity of the gradient for the fundamental solution of a class of α-stable type operators with α ∈ (0, 1), which improve known results in the literature where the condition α > 1/2 is commonly assumed.",
keywords = "L{\'e}vy type operator, gradient estimate, heat kernel estimate, stochastic differential equations",
author = "Wei Liu and Renming Song and Longjie Xie",
note = "Funding Information: W. Liu is supported by NSFC (11822106, 11831014, 11571147), NSF of Jiangsu province (BK20160004) and PAPD of Jiangsu Higher Education Institutions; R. Song is supported in part by a grant from the Simons Foundation (#429343); L. Xie is supported by NSFC (11931004) and NSF of Jiangsu province (BK20170226). Publisher Copyright: {\textcopyright} 2020 Wei Liu et al., published by De Gruyter 2020.",
year = "2020",
month = jan,
day = "1",
doi = "10.1515/anona-2020-0062",
language = "English (US)",
volume = "9",
pages = "1453--1462",
journal = "Advances in Nonlinear Analysis",
issn = "2191-9496",
publisher = "de Gruyter",
number = "1",
}