东北师范大学数学与统计学院
个人信息
School of Mathematics and Statistics,NENU
Personal Particulars
个人信息
School of Mathematics and Statistics,NENU
Personal Particulars
高鹏 教授
【主要科研著作】
【主要科研项目】
1. 高鹏,陈默,陈博超. 随机 Kuramoto-Sivashinsky 方程的能控性研究. 国家自然科学基金项目(资助金额：19万元). 执行时间：2017-01-01至2019-12-31.
2. 高鹏,陈博超,钱伟超,马倩琳,崔莹. 随机 Kuramoto-Sivashinsky 方程的状态具有约束的零能控性. 青年探索培育基金(资助金额：6万元). 执行时间：2016-04-01至2017-11-01.
3. 常小军,黄庆道,赵昕,王国铭,魏元鸿,黎文磊,高忆先,闫卫平,高鹏. 分数阶椭圆. 国家自然科学基金面上项目(资助金额：74万元). 执行时间：2015-01-01至2018-12-01.
2. 高鹏,陈博超,钱伟超,马倩琳,崔莹. 随机 Kuramoto-Sivashinsky 方程的状态具有约束的零能控性. 青年探索培育基金(资助金额：6万元). 执行时间：2016-04-01至2017-11-01.
3. 常小军,黄庆道,赵昕,王国铭,魏元鸿,黎文磊,高忆先,闫卫平,高鹏. 分数阶椭圆. 国家自然科学基金面上项目(资助金额：74万元). 执行时间：2015-01-01至2018-12-01.
【主要科研成果】
1. 高鹏. Averaging principle for stochastic Kuramoto-Sivashinsky equation with a fast oscillation. DISCRETE CONT DYN S(38卷11期5649-5684页). 2018-11-01.
2. 高鹏. Recurrent solutions of the derivative Ginzburg-Landau equation with boundary forces. APPLICABLE ANALYSIS(97卷16期2743-2761页). 2018-11-01.
3. 高鹏. Global Carleman estimate for the Kawahara equation and its applications. COMMUN PUR APPL ANAL(17卷5期1853-1874页). 2018-09-01.
4. 高鹏. Carleman estimates for forward and backward stochastic fourth order Schrodinger equations and their applications. EVOLUTION EQUATIONS AND CONTROL THEORY(7卷3期465-499页). 2018-09-01.
5. 高鹏. Recurrent solutions of the linearly coupled complex cubic-quintic Ginzburg-Landau equations. MATH METHOD APPL SCI(41卷7期2769-2794页). 2018-05-01.
6. 高鹏. Averaging Principle for the Higher Order Nonlinear Schrodinger Equation with a Random Fast Oscillation. J STAT PHYS(171卷5期897-926页). 2018-04-21.
7. 高鹏. Global Carleman estimates for the linear stochastic Kuramoto-Sivashinsky equations and their applications. J MATH ANAL APPL(464卷725-748页). 2018-04-13.
8. 高鹏. Some periodic type solutions for stochastic reaction-diffusion equation with cubic nonlinearities. COMPUT MATH APPL(74卷10期2281-2297页). 2017-11-01.
9. 高鹏. The stochastic Korteweg-de Vries equation on a bounded domain. APPL MATH COMPUT(310卷97-111页). 2017-10-01.
10. 高鹏. The stochastic Swift-Hohenberg equation. NONLINEARITY(30卷9期3516-3559页). 2017-09-01.
11. 高鹏,李勇. Averaging principle for the Schrodinger equations. DISCRETE CONT DYN-B(22卷6期2147-2168页). 2017-08-01.
12. 高鹏. Carleman estimates and unique continuation property for 1-D viscous Camassa-Holm equation. DISCRETE CONT DYN S(37卷1期169-188页). 2017-01-01.
13. 高鹏. GLOBAL CARLEMAN ESTIMATE FOR THE PLATE EQUATION AND APPLICATIONS TO INVERSE PROBLEMS. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. 2016-12-18.
14. 高鹏. ε -insensitizing controls for the linear stochastic Korteweg-de Vries equation. APPLICABLE ANALYSIS. 2016-09-01.
15. 高鹏. The Lebeau-Robbiano inequality for the one-dimensional fourth order elliptic operator and its application. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. 2016-09-01.
16. 高鹏. Global Carleman estimates for linear stochastic Kawahara equation and their applications. MATH CONTROL SIGNAL. 2016-09-01.
17. 高鹏. Local exact controllability to the trajectories of the Swift-Hohenberg equation. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 2016-07-01.
18. 高鹏. Null controllability of the viscous Camassa-Holm equation with moving control. P INDIAN AS-MATH SCI. 2016-02-01.
19. 高鹏. A new global Carleman estimate for Cahn-Hilliard type equation and its applications. J DIFFER EQUATIONS. 2016-01-01.
20. 高鹏. Null controllability with constraints on the state for the reaction-diffusion system. COMPUT MATH APPL. 2015-09-01.
21. 高鹏. NULL CONTROLLABILITY WITH CONSTRAINTS ON THE STATE FOR THE 1-D KURAMOTO-SIVASHINSKY EQUATION. EVOLUTION EQUATIONS AND CONTROL THEORY. 2015-09-01.
22. 高鹏,陈默,李勇. OBSERVABILITY ESTIMATES AND NULL CONTROLLABILITY FOR FORWARD AND BACKWARD LINEAR STOCHASTIC KURAMOTO- SIVASHINSKY EQUATIONS. SIAM J CONTROL OPTIM. 2015-01-01.
2. 高鹏. Recurrent solutions of the derivative Ginzburg-Landau equation with boundary forces. APPLICABLE ANALYSIS(97卷16期2743-2761页). 2018-11-01.
3. 高鹏. Global Carleman estimate for the Kawahara equation and its applications. COMMUN PUR APPL ANAL(17卷5期1853-1874页). 2018-09-01.
4. 高鹏. Carleman estimates for forward and backward stochastic fourth order Schrodinger equations and their applications. EVOLUTION EQUATIONS AND CONTROL THEORY(7卷3期465-499页). 2018-09-01.
5. 高鹏. Recurrent solutions of the linearly coupled complex cubic-quintic Ginzburg-Landau equations. MATH METHOD APPL SCI(41卷7期2769-2794页). 2018-05-01.
6. 高鹏. Averaging Principle for the Higher Order Nonlinear Schrodinger Equation with a Random Fast Oscillation. J STAT PHYS(171卷5期897-926页). 2018-04-21.
7. 高鹏. Global Carleman estimates for the linear stochastic Kuramoto-Sivashinsky equations and their applications. J MATH ANAL APPL(464卷725-748页). 2018-04-13.
8. 高鹏. Some periodic type solutions for stochastic reaction-diffusion equation with cubic nonlinearities. COMPUT MATH APPL(74卷10期2281-2297页). 2017-11-01.
9. 高鹏. The stochastic Korteweg-de Vries equation on a bounded domain. APPL MATH COMPUT(310卷97-111页). 2017-10-01.
10. 高鹏. The stochastic Swift-Hohenberg equation. NONLINEARITY(30卷9期3516-3559页). 2017-09-01.
11. 高鹏,李勇. Averaging principle for the Schrodinger equations. DISCRETE CONT DYN-B(22卷6期2147-2168页). 2017-08-01.
12. 高鹏. Carleman estimates and unique continuation property for 1-D viscous Camassa-Holm equation. DISCRETE CONT DYN S(37卷1期169-188页). 2017-01-01.
13. 高鹏. GLOBAL CARLEMAN ESTIMATE FOR THE PLATE EQUATION AND APPLICATIONS TO INVERSE PROBLEMS. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. 2016-12-18.
14. 高鹏. ε -insensitizing controls for the linear stochastic Korteweg-de Vries equation. APPLICABLE ANALYSIS. 2016-09-01.
15. 高鹏. The Lebeau-Robbiano inequality for the one-dimensional fourth order elliptic operator and its application. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. 2016-09-01.
16. 高鹏. Global Carleman estimates for linear stochastic Kawahara equation and their applications. MATH CONTROL SIGNAL. 2016-09-01.
17. 高鹏. Local exact controllability to the trajectories of the Swift-Hohenberg equation. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 2016-07-01.
18. 高鹏. Null controllability of the viscous Camassa-Holm equation with moving control. P INDIAN AS-MATH SCI. 2016-02-01.
19. 高鹏. A new global Carleman estimate for Cahn-Hilliard type equation and its applications. J DIFFER EQUATIONS. 2016-01-01.
20. 高鹏. Null controllability with constraints on the state for the reaction-diffusion system. COMPUT MATH APPL. 2015-09-01.
21. 高鹏. NULL CONTROLLABILITY WITH CONSTRAINTS ON THE STATE FOR THE 1-D KURAMOTO-SIVASHINSKY EQUATION. EVOLUTION EQUATIONS AND CONTROL THEORY. 2015-09-01.
22. 高鹏,陈默,李勇. OBSERVABILITY ESTIMATES AND NULL CONTROLLABILITY FOR FORWARD AND BACKWARD LINEAR STOCHASTIC KURAMOTO- SIVASHINSKY EQUATIONS. SIAM J CONTROL OPTIM. 2015-01-01.
【主要科研奖励】
1. 高鹏. 成果名称：Cahn-Hilliard方程在负指数Sobolev空间中的Carleman估计及其应用. 吉林省自然科学学术成果奖二等奖. 2017-12-31.
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