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1

On a viscoelastic equation with nonlinear boundary damping and source terms: Global existence and decay of the solution

Liqing Lu, Shengjia Li, Shugen Chai

Journal:

Nonlinear Analysis: Real World Applications

Year:

2011

Language:

english

File:

PDF, 244 KB

english, 2011

2

Controllability for one-dimensional nonlinear wave equations with degenerate damping

Wu, Jieqiong, Zhu, Xianzheng, Chai, Shugen

Journal:

Systems & Control Letters

Year:

2017

Language:

english

File:

PDF, 469 KB

english, 2017

3

Boundary feedback stabilization of the transmission problem of Naghdi's model

Shugen Chai, Kangsheng Liu

Journal:

Journal of Mathematical Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 170 KB

english, 2006

4

Uniqueness in the Cauchy problem for the Koiter shell

Journal:

Journal of Mathematical Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 195 KB

english, 2010

5

Feedthrough Operator for Linear Elasticity System with Boundary Control and Observation

Chai, Shugen, Guo, Bao-Zhu

Journal:

SIAM Journal on Control and Optimization

Year:

2010

Language:

english

File:

PDF, 287 KB

english, 2010

6

Performance output exponential tracking for a wave equation with a general boundary disturbance

Zhang, Xiaoying, Feng, Hongyinping, Chai, Shugen

Journal:

Systems & Control Letters

Year:

2016

Language:

english

File:

PDF, 732 KB

english, 2016

7

Output feedback stabilization for an anti-stable Schrödinger equation with internal unknown dynamic and external disturbance

Zhang, Xiaoying, Feng, Hongyinping, Chai, Shugen

Journal:

Journal of the Franklin Institute

Year:

2018

Language:

english

File:

PDF, 1.76 MB

english, 2018

8

Existence and nonexistence of a global solution for coupled nonlinear wave equations with damping and source

Jieqiong Wu, Shengjia Li, Shugen Chai

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 279 KB

english, 2010

9

Uniform decay of the solution to a wave equation with memory conditions on the boundary

Jieqiong Wu, Shengjia Li, Shugen Chai

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 297 KB

english, 2010

10

Well-posedness and regularity of Naghdi's shell equation under boundary control and observation

Shugen Chai, Bao-Zhu Guo

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 385 KB

english, 2010

11

Analyticity of a thermoelastic plate with variable coefficients

Shugen Chai, Bao-Zhu Guo

Journal:

Journal of Mathematical Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 172 KB

english, 2009

12

Observability inequalities for the transmission of shallow shells

Shugen Chai, Kangsheng Liu

Journal:

Systems & Control Letters

Year:

2006

Language:

english

File:

PDF, 265 KB

english, 2006

13

Well-posedness and regularity of weakly coupled wave-plate equation with boundary control and observation

Shugen Chai, Bao-Zhu Guo

Journal:

Journal of Dynamical and Control Systems

Year:

2009

Language:

english

File:

PDF, 607 KB

english, 2009

14

Uniform decay rate for the transmission wave equations with variable coefficients

Journal:

Journal of Systems Science and Complexity

Year:

2011

Language:

english

File:

PDF, 166 KB

english, 2011

15

Observability inequalities for thin shells

Shugen Chai, Pengfei Yao

Journal:

Science China Mathematics

Year:

2003

Language:

english

File:

PDF, 203 KB

english, 2003

16

Exact controllability of wave equations with variable coefficients coupled in parallel

Jieqiong Wu, Shengjia Li, Shugen Chai

Journal:

Asian Journal of Control

Year:

2010

Language:

english

File:

PDF, 106 KB

english, 2010

17

Energy decay of the wave equation with variable coefficients and a localized half-linear dissipation in an exterior domain

Li, Jing, Chai, Shugen, Wu, Jieqiong

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2015

Language:

english

File:

PDF, 295 KB

english, 2015

18

Acknowledgment to reviewers

Li, Jing, Chai, Shugen, Wu, Jieqiong

Journal:

General Thoracic and Cardiovascular Surgery

Year:

2013

File:

PDF, 53 KB

2013

19

Well-Posedness and Exact Controllability of Fourth Order Schrödinger Equation with Boundary Control and Collocated Observation

Wen, Ruili, Chai, Shugen, Guo, Bao-Zhu

Journal:

SIAM Journal on Control and Optimization

Year:

2014

Language:

english

File:

PDF, 332 KB

english, 2014

20

Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback

Li, Jing, Chai, Shugen

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2015

Language:

english

File:

PDF, 440 KB

english, 2015

21

Boundary Feedback Stabilization of Shallow Shells

Chai, Shugen, Guo, Yuxia, Yao, Peng-Fei

Journal:

SIAM Journal on Control and Optimization

Year:

2003

Language:

english

File:

PDF, 225 KB

english, 2003

22

Regularity for Euler-Bernoulli equations with boundary control and collocated observation

Wen, Ruili, Chai, Shugen

Journal:

Journal of Systems Science and Complexity

Year:

2015

Language:

english

File:

PDF, 186 KB

english, 2015

23

Existence and energy decay rates of solutions to the variable-coefficient Euler–Bernoulli plate with a delay in localized nonlinear internal feedback

Li, Jing, Chai, Shugen

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 1.40 MB

english, 2016

24

Well-posedness and regularity of Euler-Bernoulli equation with variable coefficient and Dirichlet boundary control and collocated observation

Wen, Ruili, Chai, Shugen, Guo, Bao-Zhu

Journal:

Mathematical Methods in the Applied Sciences

Year:

2014

Language:

english

File:

PDF, 255 KB

english, 2014

25

Well-posedness and exact controllability of fourth-order Schrödinger equation with hinged boundary control and collocated observation

Wen, Ruili, Chai, Shugen, Guo, Bao-Zhu

Journal:

Mathematics of Control, Signals, and Systems (MCSS)

Year:

2016

Language:

english

File:

PDF, 607 KB

english, 2016

26

Energy decay rates for the elasticity system with structural damping in the Fourier space

Wu, Mijing, Chai, Shugen, Li, Shengjia

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 873 KB

english, 2017

27

Global nonexistence of positive initial energy solution for coupled quasilinear system

Zhang, Xiaoying, Chai, Shugen, Wu, Jieqiong

Journal:

Mathematical Methods in the Applied Sciences

Year:

2017

Language:

english

File:

PDF, 166 KB

english, 2017

28

The stability of Schrödinger equation with boundary control matched disturbance

Zhang, Xiaoying, Chai, Shugen

Journal:

Journal of Systems Science and Complexity

Year:

2017

Language:

english

File:

PDF, 323 KB

english, 2017

29

Stabilization of the variable-coefficient structural acoustic model with curved middle surface and delay effects in the structural component

Li, Jing, Chai, Shugen

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 474 KB

english, 2017

30

Exact controllability of thermoelastic plate equation with memory

Liu, Ruijuan, Chai, Shugen, Cao, Xiaomin

Journal:

Mathematical Methods in the Applied Sciences

Year:

2019

Language:

english

File:

PDF, 280 KB

english, 2019