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The Ito SDEs and Fokker-Planck equations with Osgood and Sobolev coefficients 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 卷号: 90, 期号: 3, 页码: 379-410
Authors:  Luo, Dejun
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Stochastic differential equation  Osgood and Sobolev condition  DiPerna-Lions theory  Fokker-Planck equation  stochastic flow  
Steady States of Fokker-Planck Equations: III. Degenerate Diffusion 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2016, 卷号: 28, 期号: 1, 页码: 127-141
Authors:  Huang, Wen;  Ji, Min;  Liu, Zhenxin;  Yi, Yingfei
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Fokker-Planck equation  Degenerate diffusion  Existence  Stationary solution  Stationary measure  Level set method  
Steady States of Fokker-Planck Equations: I. Existence 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2015, 卷号: 27, 期号: 3-4, 页码: 721-742
Authors:  Huang, Wen;  Ji, Min;  Liu, Zhenxin;  Yi, Yingfei
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Fokker-Planck equation  Existence  Stationary solution  Stationary measure  Integral identity  Level set method  
Harnack inequalities for SDEs with multiplicative noise and non-regular drift 期刊论文
STOCHASTICS AND DYNAMICS, 2015, 卷号: 15, 期号: 3, 页码: 18
Authors:  Li, Huaiqian;  Luo, Dejun;  Wang, Jian
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Harnack inequality  LPS condition  Holder continuity  Zvonkin transformation  
Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 2, 页码: 303-314
Authors:  Luo De Jun
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VECTOR-FIELDS  TRANSPORT-EQUATION  CAUCHY-PROBLEM  DIPERNA-LIONS  UNIQUENESS  SPACES  DEGENERATE  EXISTENCE  DiPerna-Lions theory  Fokker-Planck equation  stochastic differential equation  BV regularity  commutator estimate  
Absolute continuity under flows generated by SDE with measurable drift coefficients 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2011, 卷号: 121, 期号: 10, 页码: 2393-2415
Authors:  Luo, Dejun
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Stochastic differential equation  Strong solution  Density estimate  Limit theorem  Fokker-Planck equation  
Finite travelling waves for a semilinear degenerate reaction-diffusion system 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2001, 卷号: 17, 期号: 4, 页码: 603-612
Authors:  Wang, S;  Wang, CF;  Luo, D
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finite traveling waves  degenerate reaction-diffusion system  global solution  blow up  
Finite traveling waves for a nonlinear degenerate reaction-diffusion system 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 卷号: 41, 期号: 1-2, 页码: 15-31
Authors:  Wang, S
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finite traveling waves  degenerate reaction-diffusion system  Schauder's fixed point theorem  global solution  blow up  upper and lower solutions method  
A characteristic Galerkin method with adaptive error control for the continuous casting problem 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 卷号: 189, 期号: 1, 页码: 249-276
Authors:  Chen, ZM;  Nochetto, RH;  Schmidt, A
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a posteriori error estimates  continuous casting  method of characteristics  convection-dominated diffusion  degenerate parabolic equations  
Numerical methods for Stefan problems with prescribed convection and nonlinear flux 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2000, 卷号: 20, 期号: 1, 页码: 81-98
Authors:  Chen, ZM;  Shih, T;  Yue, XY
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piecewise linear finite elements  numerical quadrature  convergence  Stefan problem with convection  nonlinear flux