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个人简介

教育经历 2007.92010.6吉林大学应用数学博士 2005.92007.6吉林大学运筹学与控制论硕士 2001.92005.6吉林大学数学及应用数学学士 1998.92001.7吉林市第一中学 工作经历 2012.7至今大连理工大学 2010.72012.7大连理工大学师资博士后 科研项目 行为金融学与流体力学的交叉研究, 2017/05/23-2021/04/01, 进行 具奇异性非线性扩散方程的定性理论, 国家自然科学基金, 2013/08/15-2017/12/31, 完成 伪抛物型方程解的渐近行为及其在图像处理中的应用, 中国博士后科学基金, 2010/01/01-2012/12/31, 完成 非经典扩散方程的若干定性问题及其在图像处理中的应用, 辽宁省博士科研启动基金, 2012/01/01-2015/01/14, 完成 伪抛物型方程的若干定性问题, 国家自然科学基金, 2012/09/25, 完成 伪抛物型方程的若干理论问题及其应用, 国家自然科学基金, 2011/09/25-2012/12/31, 完成 几类偏微分方程的伪抛物粘性化问题, 国家自然科学基金, 2018/08/16, 进行 等离子流体适定性问题的研究, 大连市青年科技之星项目, 2018/01/01, 进行 若干非线性发展方程行波解的研究, 国家自然科学基金, 2016/08/17, 进行 其他奖励 2017年大连理工大学教学质量优秀奖 (2017年) 2014-2015学年校优秀班主任 (2016年) 数学科学学院第四届青年教师讲课竞赛 (2012年) 大连理工大学2012年青年教师讲课竞赛 (2012年)

研究领域

偏微分方程的理论研究及其在图像处理、金融领域中的应用

近期论文

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Huang, Haochuan,Huang, Rui,Yin, Jingxue,Cao, Yang.Sobolev hyperbola for the periodic parabolic Lane-Emden system[J],NONLINEARITY,2020,33(2):762-789 Cao, Yang,Wang, Zhiyong,Yin, Jingxue.A note on the life span of semilinear pseudo-parabolic equation[J],APPLIED MATHEMATICS LETTERS,2019,98:406-410 Cao, Yang,Wang, Zhiyong,Yin, Jingxue.A semilinear pseudo-parabolic equation with initial data non-rarefied at infinity[J],JOURNAL OF FUNCTIONAL ANALYSIS,2019,277(10):3737-3756 Cao, Yang,Yin, Jing Xue,Li, Ying Hua.One-dimensional Viscous Diffusion Equation of Higher Order with Gradient Dependent Potentials a...[J],ACTA MATHEMATICA SINICA-ENGLISH SERIES,2018,34(6):959-974 Cao, Yang,Liu, Conghui.INITIAL BOUNDARY VALUE PROBLEM FOR A MIXED PSEUDO-PARABOLIC p-LAPLACIAN TYPE EQUATION WITH LOGA...[J],ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2018 Ji, Shanming,Yin, Jingxue,Cao, Yang.Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logar...[J],JOURNAL OF DIFFERENTIAL EQUATIONS,2016,261(10):5446-5464 Cao, Yang,Liu, Conghui.Global existence and non-extinction of solutions to a fourth-order parabolic equation[J],APPLIED MATHEMATICS LETTERS,2016,61:20-25 Cao, Yang,Yin, Jingxue.SMALL PERTURBATION OF A SEMILINEAR PSEUDO-PARABOLIC EQUATION[J],2013 Workshop on Variational Problems and Evolution Equations,2016,36(2,SI):631-642 曹杨,曲程远,周文书.基于全概率公式的随机变量边际分布[J],大学数学,2015,31(6):67-71 Li, Yinghua,Cao, Yang.Time Periodic Solutions for a Pseudo-parabolic Type Equation with Weakly Nonlinear Periodic Sou...[J],BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY,2015,38(2):667-682 Wang, Lina,Bai, Xueli,Cao, Yang.EXPONENTIAL STABILITY OF THE TRAVELING FRONTS FOR A VISCOUS FISHER-KPP EQUATION[J],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2014,19(3):801-815 Yang JinGe,Cao Yang,Zheng SiNing.Fujita phenomena in nonlinear pseudo-parabolic system[J],SCIENCE CHINA-MATHEMATICS,2014,57(3):555-568 Cao, Yang,Nie, Yuanyuan.Blow-up of solutions of the nonlinear Sobolev equation[J],APPLIED MATHEMATICS LETTERS,2014,28:1-6 Liang, Bo,Wang, Meishan,Cao, Yang,Shen, Huiying.A thin film equation with a singular diffusion[J],APPLIED MATHEMATICS AND COMPUTATION,2014,227:1-10 Li, Yinghua,Cao, Yang,Yin, Jingxue.A class of viscous p-Laplace equation with nonlinear sources[J],CHAOS SOLITONS & FRACTALS,2013,57:24-34 Qu, Chengyuan,Cao, Yang.Global existence of solutions for a viscous Cahn-Hilliard equation with gradient dependent pote...[J],PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES,2013,123(4):499-513 曲程远,曹杨.Global Existence of Solutions for a Viscous Cahn-Hilliard Equation[J],Proc. Indian Acad. Sci. (Math. Sci.),2013,123(4):499-513 Yang, Chunxiao,Cao, Yang,Zheng, Sining.Second critical exponent and life span for pseudo-parabolic equation[J],JOURNAL OF DIFFERENTIAL EQUATIONS,2012,253(12):3286-3303 Li, Yinghua,Cao, Yang.A Viscous Cahn-Hilliard Equation with Periodic Gradient Dependent Potentials and Sources[J],MATHEMATICAL MODELLING AND ANALYSIS,2012,17(3):403-422 尹云光,曹杨,郭志昌,李静.基于偏微分方程的彩色图像乘性去噪模型[J],吉林大学学报(理学版),2011,49(3):424-429 尹云光,李静,郭志昌,曹杨.一类自适应扩散方程在乘性去噪中的应用[J],吉林大学学报(理学版),2011,49(2):164-168 Cao, Yang,Yin, Jingxue,Jin, Chunhua.A Periodic Problem of a Semilinear Pseudoparabolic Equation[J],ABSTRACT AND APPLIED ANALYSIS,2011,2011 Li, Yinghua,Cao, Yang,Yin, Jingxue,Wang, Yifu.Time Periodic Solutions for a Viscous Diffusion Equation with Nonlinear Periodic Sources[J],ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS,2011,10:1-19

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