A priori h?lder estimate, parabolic harnack principle and heat kernel estimates for diffusions with jumps

Chen Z.-Q.; Kumagai T.

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A priori h?lder estimate, parabolic harnack principle and heat kernel estimates for diffusions with jumps

机译：带跳跃的扩散的先验扩散估计，抛物线哈纳克原理和热核估计

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In this paper, we consider the following type of non-local (pseudodifferential) operators ￡ on ?~d: Equation Presented where A(x) = (aij(x))i

机译：在本文中，我们考虑在？〜d上使用以下类型的非局部（伪微分）算符:：表示的公式其中A（x）=（aij（x））i

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《Revista matematica iberoamericana》 |2010年第2期|共39页
作者
Chen Z.-Q.; Kumagai T.;
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正文语种 eng
中图分类数学;
关键词
A priori holder estimate; Diffusion process; Heat kernel estimates; Hitting probability; Jump process; Levy system; Parabolic function; Parabolic harnack inequality; Pseudo-differential operator; Symmetric markov process; Transition density;

机译：先验持有者估计;扩散过程;热核估计;命中率;跳跃过程;征费系统;抛物函数;抛物型哈纳克不等式;伪微分算子;对称马尔可夫过程;转移密度;

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1. A priori h?lder estimate, parabolic harnack principle and heat kernel estimates for diffusions with jumps [J] . Chen Z.-Q., Kumagai T. Revista matematica iberoamericana . 2010,第2期

机译：带跳跃的扩散的先验扩散估计，抛物线哈纳克原理和热核估计
2. Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps [J] . Barlow M, Bass R, Kumagai T Mathematische Zeitschrift . 2009,第2期

机译：具有远距离跳跃的随机游走的抛物线型Harnack不等式和热核估计
3. Harnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature boundsHarnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature bounds [J] . Journal of Differential Equations . 2020,第2期

机译：在整体RICCI曲率横向阶段不等式下，热核静脉界和特征值估计下整体RICCI曲率缩窄下的热核界和特征值估计
4. On A priori Estimate in W_q~(1,2) for the Solution of Nondivergent Parabolic Equation with Unbounded Coefficients [C] . V. L. Kamynin, T. I. Bukharova International Conference of Numerical Analysis and Applied Mathematics . 2016

机译：关于W_Q〜（1,2）的先验估计，对于非绑定系数的非引用抛物型方程解
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. Hölder norm estimate for the fractal Hilbert transform in Douglis analysis [O] . Yudier Peña Pérez, Martín P Árciga Alejandre, Ricardo Abreu Blaya, -1

机译：Douglis分析中分形Hilbert变换的Hölder范数估计
7. A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps [O] . Zhen-qing Chen, Takashi Kumagai 2008

机译：先验Hölder估计，抛物型Harnack原理和带跳的扩散的热核估计

A priori h?lder estimate, parabolic harnack principle and heat kernel estimates for diffusions with jumps

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