位置：成果数据库 > 期刊 > 期刊详情页
Intrinsic contractivity properties of Feynman-Kac semigroups for symmetric jump processes with infinite range jumps
  • ISSN号：0254-3079
  • 期刊名称：《应用数学学报》
  • 时间：0
  • 分类：O211.6[理学—概率论与数理统计;理学—数学] TS102.522[轻工技术与工程—纺织工程;轻工技术与工程—纺织科学与工程]
  • 作者机构：[1]Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China, [2]School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China
  • 相关基金：The authors would like to thank Professor Mu-Fa Chen and Professor Feng-Yu Wang for introducing them the field of functional inequalities when they studied in Beijing Normal University, and for their continuous encouragement and great help in the past few years. The authors are also indebted to the referees for valuable comments on the draft. This work was supported by the National Natural Science Foundation of China （Grant No. 11201073）, Japan Society for the Promotion of Science （No. 26.04021）, the Natural Science Foundation of Fujian Province （No. 2015J01003）, and the Program for Nonlinear Analysis and Its Applications （No. IRTL1206） （for Jian Wang）.
作者： Xin CHEN[1], Jian WANG[2]
关键词： 跳跃过程, 收缩性能, 对称, 费曼, 半群, 马尔可夫过程, 非正规, Symmetric jump process, Levy process, Dirichlet form, Feynman-Kac semigroup, intrinsic contractivity
中文摘要：

让(X t ) t0 一个对称的强壮的 Markov 过程被非局部的常规 Dirichlet formas 产生列在后面：

英文摘要：

Let （Xt）t≥0 be a symmetric strong Markov process generated by non-local regular Dirichlet form （D, （D）） as follows： where J（x, y） is a strictly positive and symmetric measurable function on Rd × Rd. We study the intrinsic hypercontractivity, intrinsic supercontractivity, and intrinsic ultracontractivity for the Feynman-Kac semigroup

同期刊论文项目
Lévy型过程的遍历性与泛函不等式
期刊论文 38 会议论文 1 著作 1
　可乘Levy噪音驱动随机方程的成功耦合与Harnack不等式
期刊论文 3
同项目期刊论文
Harnack inequalities for stochastic equations driven by Lévy noise
On the existence and explicit estimates for the coupling property of Lévy processes with
On the exponential ergodicity of Lévy-driven Ornstein-Uhlenbeck processes
Poincaré-type inequalities for singular stable-like Dirichlet forms
Wasserstein distance for stochastic differential equations driven by Lévy processes
Laws of the iterated logarithm for symmetric jump processes
Sub-markovian C0-semigroups generated by fractional Laplacian with gradient perturbation
Functional inequalities for nonlocal Dirichlet forms with finite range jumps or large jumps
Smooth properties for semigroups of Lévy processes and their application
Exponential ergodicity and strong ergodicity for SDEs driven by symmetric alpha-stable processes
Ergodicity for time-changed symmetric stable processes
Lower bounds of Hausdorff dimension for the images of Feller processes
Perturbations of functional inequalities for Lévy type Dirichlet forms
A simple approach to functional inequalities for non-local Dirichlet forms
Linear evolution equations with cylindrical Lévy noise: gradient estimtes and exponential ergodicity
Harnack inequalities for SDEs with multiplicative noise and non-regular drift
On the existence and explicit estimates for the coupling property of Lévy processes with drift
Intrinsic ultracontractivity for general Lévy processes on bounded open sets
Functional inequalities for stable-like Dirichlet forms
Intrinsic contractivity properties of Feynman-Kac semigroups for symmetric jump processes with infin
Exponential convergence in L_p-Wasserstein distance for diffusion processes without uniformly dissi
Functional inequalities for convolution probability measures
H？lder continuity of semigroups for time changed symmetric stable processes
Weighted Poincaré inequalities for nonlocal Dirichlet forms
Lp空间生灭过程的第一特征值
h-变换在生灭过程中的应用
holder continuity of semigroups for ;ime changed symmetric stable processes
holder continuity of semigroups for ;ime changed symmetric stable processes
可加Levy噪声驱动随机微分方程的强Feller性与指数遍历性
期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6864