一类退化抛物方程边界控制问题的近似可控性

Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (5): 1141-1143.

Previous Articles Next Articles

Approximate Controllability of Boundary Control Problems for a Class of Degenerate Parabolic Equations

XIE Chunlei, DU Runmei, YUAN Yuan

School of Mathematics and Statistics, Changchun University of Technology, Changchun 130012, China

Received:2019-04-26 Online:2019-09-26 Published:2019-09-19
Contact: YUAN Yuan E-mail:yuanyuan@ccut.edu.cn

Abstract

Abstract: By using Carleman estimates of the adjoint equations, we investigated the boundary control problem of degenerate parabolic equations, and obtained its approximate controllability. The result shows that for any objective function, there exists a control function such that the solution of the problem can be fully close to the objective function in a finite time.

Key words: degenerate parabolic equation, boundary control, approximate controllability, , unique continuity

CLC Number:

O175.26

XIE Chunlei, DU Runmei, YUAN Yuan. Approximate Controllability of Boundary Control Problems for a Class of Degenerate Parabolic Equations[J].Journal of Jilin University Science Edition, 2019, 57(5): 1141-1143.

[1]	HU Xueping, WANG Liuliu, YANG Rui. Convergence Properties for Maximum Weighted Sums of NSD Random Arrays [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1101-1106.
[2]	LIU Gaotian, DUAN Jin, FAN Qi, WU Jie, ZHAO Yan. Target Detection for Remote Sensing Image Based on Improved RFBNet Algorithm [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1188-1198.
[3]	LIU Zonglin, SONG Jihong, LIU Huijie, YI Wensuo, LI Dongxu. Vibration Sensor Design for Rotor Monitoring Based on Optical Fiber Interference Principle [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1272-1277.
[4]	HE Jing, LI Hui, WEI Yahui, SUN Lina, YANG Nan. Preparation, Characterization and Visible Light Photocatalytic Degradation Rhodamine B of Au Nanostar/TiO₂/Calixarene [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1282-1287.
[5]	HUA Yuduo, QIN Xueming, YANG Xinru, ZHAO Yongsheng. Reaction Mechanism and Efficiency of in situ Remediation of Cr(Ⅵ) Contaminated Aquifer by Fe(Ⅲ) Enhanced Tannic Acid [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1294-1302.
[6]	DUAN Lei, CHEN Tianlan. Existence of Solutions for Neumann Problem of One-Dimensional Discrete Mean Curvature Equation [J]. Journal of Jilin University Science Edition, 2021, 59(4): 731-736.
[7]	XU Rongjin, LI Muzi, YUE Lijuan. Adaptive Synchronization of a Grid Multi-scroll Hyper-chaotic System with Unknown Parameters [J]. Journal of Jilin University Science Edition, 2021, 59(4): 965-971.
[8]	XU Zhongxuan, HU Bangping, OU Chunyan, LIN Ya. Mn(Ⅱ) Coordination Polymers from 3D Framework to 2D Layer Controlled by Nitrogen Heterocyclic Ligands [J]. Journal of Jilin University Science Edition, 2021, 59(4): 982-987.
[9]	SONG Xiangwei , DOU Xinyue, SHA Yue, LUO Rui, WANG Xueli. Effect of Helical Structure on Bioactivity and Stability of Exendin-4 [J]. Journal of Jilin University Science Edition, 2021, 59(4): 988-992.
[10]	ZHOU Mengmeng, ZHANG Zhongqing, ZHAO Qinghui, SHAO Weizhi, ZHAO Shengchen, CHANG Haibo, YANG Jingmin. Preparation of Hydrothermal Carbon of Cornstalks and Its Adsorption of Atrazine in Water [J]. Journal of Jilin University Science Edition, 2021, 59(4): 993-1002.
[11]	XIE Chunlei, DU Runmei. Approximate Controllability of a Class of Semilinear Degenerate Parabolic Equations with Boundary Control Functions [J]. Journal of Jilin University Science Edition, 2021, 59(3): 563-567.
[12]	ZHOU Ruisha, SU Yahui, CHAI Jiaqi, LI He, SONG Jiangfeng. Two New Hydroxyl Sulfate Frameworks： In situ Synthesis of Organic Sulfur and Crystal Structures [J]. Journal of Jilin University Science Edition, 2021, 59(3): 676-681.
[13]	LI Bailin, LIU Zhinan, GUO Shuhai, WANG Li. Molecular Dynamics Simulation of Elution Law of a Series of Aromatic Hydrocarbons in Soil [J]. Journal of Jilin University Science Edition, 2021, 59(3): 682-689.
[14]	ZHANG Shumeng, LI Jinlian, GUO Xiaoling, MENG Lingren, ZHOU Shi. Detection of Thymine and Cytosine in Cells by Electrochemical Method [J]. Journal of Jilin University Science Edition, 2021, 59(3): 690-695.
[15]	LIU Zeyang, LI Ming, WU Peize, NING Yang, LIANG Dapeng. Determination of A1 and A2 β-Casein in Milk by Liquid Chromatography-High Resolution Tandem Mass Spectrometry [J]. Journal of Jilin University Science Edition, 2021, 59(3): 696-702.

Approximate Controllability of Boundary Control Problems for a Class of Degenerate Parabolic Equations

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10