Gradient and stability estimates of heat kernels for fractional powers of elliptic operator

Yong Chen; Yaozhong Hu; Zhi Wang

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Gradient and stability estimates of heat kernels for fractional powers of elliptic operator

机译：椭圆型操作员分数功率的热核的梯度与稳定性估计

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摘要

Gradient and stability type estimates of heat kernel associated with fractional power of a uniformly elliptic operator are obtained.Lp-operator norm of semigroups associated with fractional power of two uniformly elliptic operators are also obtained.

机译：获得了与均匀椭圆件的分数功率相关的热核的梯度和稳定性估计。还获得了与两个均匀椭圆形算子的分数相关的半群的算子标准。

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来源
《Statistics & Probability Letters》 |2018年第2018期|共6页
作者
Yong Chen; Yaozhong Hu; Zhi Wang;
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作者单位

College of Mathematics and Information Science Jiangxi Normal University;

Department of Mathematical and Statistical Sciences University of Alberta;

School of Sciences Ningbo University of Technology;

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原文格式 PDF
正文语种 eng
中图分类概率论（几率论、或然率论）;
关键词
Gradient estimates; Stability; Subordination; Fractional powers;

机译：渐变估计;稳定性;从属;分数力量;

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专利

1. Gradient and stability estimates of heat kernels for fractional powers of elliptic operator [J] . Yong Chen, Yaozhong Hu, Zhi Wang Statistics & Probability Letters . 2018,第期

机译：椭圆型操作员分数功率的热核的梯度与稳定性估计
2. Estimates of heat kernel of fractional Laplacian perturbed by gradient operators [J] . Bogdan K, Jakubowski T Communications in Mathematical Physics . 2007,第1期

机译：梯度算子扰动分数拉普拉斯算子的热核估计
3. Estimates of Heat Kernel of Fractional Laplacian Perturbed by Gradient Operators [J] . Krzysztof Bogdan, Tomasz Jakubowski Communications in Mathematical Physics . 2007,第1期

机译：梯度算子扰动分数阶拉普拉斯算子的热核估计
4. High-Order Two and Three Level Schemes for Solving Fractional Powers of Elliptic Operators [C] . Raimondas Ciegis, Petr Vabishchevich European Conference on Numberical Mathematiocs and Advanced Applications . 2019

机译：用于解决椭圆形算子的分数功率的高阶二和三级方案
5. The Szego Kernel of Certain Polynomial Models, and Heat kernel Estimates for Schroedinger Operators with Reverse Hoelder Potentials. [D] . Tinker, Michael. 2014

机译：某些多项式模型的Szego核以及具有反向Hoelder势的Schroedinger算子的热核估计。
6. Focus expansion and stability of the spread parameter estimate of the power law model for dispersal gradients [O] . Peter S. Ojiambo, David H. Gent, Lucky K. Mehra, -1

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7. Gradient and Stability Estimates of Heat Kernels for Fractional Powers of Elliptic Operator [O] . Chen, Yong, Hu, Yaozhong, Wang, Zhi 2017

机译：分数幂热核的梯度和稳定性估计椭圆运算符

Gradient and stability estimates of heat kernels for fractional powers of elliptic operator

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