CONTRACTIVITY

作品数：5被引量：27H指数：2
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相关机构：清华大学更多>>
相关期刊：《Science China Mathematics》《Chinese Medical Journal》《Acta Mathematicae Applicatae Sinica》《Communications in Mathematics and Statistics》更多>>
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On-diagonal Heat Kernel Estimates for Schrödinger Semigroups and Their Application
《Communications in Mathematics and Statistics》2018年第4期493-508,共16页Jian Wang 
supported by the National Natural Science Foundation of China(Nos.11522106 and 11831014);the Fok Ying Tung Education Foundation(No.151002);the Program for Probability and Statistics:Theory and Application(No.IRTL1704);the Program for Innovative Research Team in Science and Technology in Fujian Province University(IRTSTFJ).
We establish explicit and sharp on-diagonal heat kernel estimates for Schrödinger semigroups with unbounded potentials corresponding to a large class of symmetric jump processes.The approach is based on recent develop...
关键词：Schrödinger semigroup (Dirichlet)heat kernel Intrinsic contractivity property Eigenvalue 
Intrinsic contractivity properties of Feynman-Kac semigroups for symmetric jump processes with infinite range jumps被引量：1
《Frontiers of Mathematics in China》2015年第4期753-776,共24页Xin CHEN Jian WANG 
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）.
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...
关键词：Symmetric jump process Levy process Dirichlet form Feynman-Kac semigroup intrinsic contractivity 
Contractivity and Exponential Stability of Solutions to Nonlinear Neutral Functional Differential Equations in Banach Spaces被引量：1
《Acta Mathematicae Applicatae Sinica》2012年第2期289-304,共16页Wan-sheng WANG Shou-fuLI Run-sheng YANG 
Supported by the National Natural Science Foundation of China (No. 11001033);Natural Science Foundation of Hunan Province (No. 10JJ4003);the Open Fund Project of Key Research Institute of Philosophies and Social Sciences in Hunan Universities;the Major Foundation of Educational Committee of Hunan Province(No. 09A002 [2009]);the Scientific Innovation Foundation for the Electric Power Youth of Chinese Society for Electrical Engineering;the Science and Technology Planning Project of Hunan Province (No. 2010SK3026)
A series of eontractivity and exponential stability results for the solutions to nonlinear neutral functional differential equations （NFDEs） in Banach spaces are obtained, which provide unified theoretical foundatio...
关键词：nonlinear neutral functional differential equations CONTRACTIVITY exponential stability~ Banachspaces 
Stability analysis of solutions to nonlinear stiff Volterra functional differential equations in Banach spaces被引量：20
《Science China Mathematics》2005年第3期372-387,共16页LI Shoufu 
This work was supported by the National High-Tech ICF Committee in China;the National Natural Science Foundation of China(Grant No.10271100).
A series of stability, contractivity and asymptotic stability results of the solutions to nonlinear stiff Volterra functional differential equations (VFDEs) in Banach spaces is obtained, which provides the unified the...
关键词：NONLINEAR STIFF problems  functional differential equations  stability  contractivity. 
EXPERIMENT STUDY ON THE EFFECT OF SHENG-MAI INJECTION ON THE CONTRACTIVITY OF DIAPHRAGM AND ITS MECHANISM被引量：6
《Chinese Medical Journal》1995年第2期12-16,共5页赵建平 牛汝楫 
Funded by Foundation of National Science
In this study the effect of Sheng-ai Injection i.e. Red Ginseng-Ophiopogon Root Injection (one kind of traditional Chinese medicines) on the contractivity of diaphragm was observed. The results confirmed that Sheng-ai...
关键词：In EXPERIMENT STUDY ON THE EFFECT OF SHENG-MAI INJECTION ON THE CONTRACTIVITY OF DIAPHRAGM AND ITS MECHANISM 
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