Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback

Enrike Zuazua

doi:10.1137/0328025

Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback

SIAM Journal on Control and Optimization ◽

10.1137/0328025 ◽

1990 ◽

Vol 28 (2) ◽

pp. 466-477 ◽

Cited By ~ 105

Author(s):

Enrike Zuazua

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Uniform Stabilization ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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Uniform stabilization of a thin elastic plate by nonlinear boundary feedback

Advances in Computing and Control - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0043279 ◽

2006 ◽

pp. 305-317

Author(s):

J. E. Lagnese

Keyword(s):

Elastic Plate ◽

Nonlinear Boundary ◽

Thin Elastic Plate ◽

Uniform Stabilization ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback

Nonlinear Analysis ◽

10.1016/j.na.2009.05.018 ◽

2009 ◽

Vol 71 (12) ◽

pp. 5961-5978 ◽

Cited By ~ 22

Author(s):

Bao-Zhu Guo ◽

Zhi-Chao Shao

Keyword(s):

Wave Equation ◽

Exponential Stability ◽

Nonlinear Boundary ◽

Variable Coefficients ◽

Semilinear Wave Equation ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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Energy decay estimates for a wave equation with nonlinear boundary feedback

Glasnik Matematicki ◽

10.3336/gm.43.2.10 ◽

2008 ◽

Vol 43 (2) ◽

pp. 375-386

Author(s):

Mohammad Cherkaoui

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Energy Decay ◽

Decay Estimates ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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Decay of solutions of the wave equation with nonlinear boundary feedback

Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0115049 ◽

2007 ◽

pp. 512-523

Author(s):

Francis Conrad ◽

Bopeng Rao

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Boundary Feedback ◽

Decay Of Solutions ◽

Nonlinear Boundary Feedback

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Stabilization of wave equation with variable coefficients by nonlinear boundary feedback

Journal of Systems Science and Complexity ◽

10.1007/s11424-011-9110-4 ◽

2011 ◽

Vol 24 (5) ◽

pp. 875-882 ◽

Cited By ~ 8

Author(s):

Jieqiong Wu ◽

Shengjia Li

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Variable Coefficients ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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The uniform stabilization of a full von Karman system with nonlinear boundary feedback

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) ◽

10.1109/cdc.1998.758244 ◽

2002 ◽

Author(s):

I. Lasiecka

Keyword(s):

Nonlinear Boundary ◽

Uniform Stabilization ◽

Boundary Feedback ◽

Von Karman ◽

Von Kármán System ◽

Von Kármán ◽

Nonlinear Boundary Feedback

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Nonlinear boundary feedback control of the one-dimensional wave equation

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.914097 ◽

2002 ◽

Author(s):

Goong Chen ◽

Tingwen Huang ◽

Sze-Bi Hsu

Keyword(s):

Wave Equation ◽

Feedback Control ◽

Nonlinear Boundary ◽

Boundary Feedback Control ◽

One Dimensional ◽

Boundary Feedback ◽

The One ◽

Nonlinear Boundary Feedback ◽

Dimensional Wave

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Uniform stabilization of a nonlinear beam by nonlinear boundary feedback

Journal of Differential Equations ◽

10.1016/0022-0396(91)90145-y ◽

1991 ◽

Vol 91 (2) ◽

pp. 355-388 ◽

Cited By ~ 71

Author(s):

J.E Lagnese ◽

G Leugering

Keyword(s):

Nonlinear Boundary ◽

Uniform Stabilization ◽

Nonlinear Beam ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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Uniform stabilization of the higher-dimensional system of thermoelasticity with a nonlinear boundary feedback

Quarterly of Applied Mathematics ◽

10.1090/qam/1828455 ◽

2001 ◽

Vol 59 (2) ◽

pp. 269-314 ◽

Cited By ~ 13

Author(s):

Wei-Jiu Liu ◽

Enrique Zuazua

Keyword(s):

Nonlinear Boundary ◽

Dimensional System ◽

Uniform Stabilization ◽

Boundary Feedback ◽

Higher Dimensional ◽

Nonlinear Boundary Feedback

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Decay of solutions of the wave equation in a star-shaped domain with nonlinear boundary feedback

Asymptotic Analysis ◽

10.3233/asy-1993-7301 ◽

1993 ◽

Vol 7 (3) ◽

pp. 159-177 ◽

Cited By ~ 37

Author(s):

Francis Conrad ◽

Bopeng Rao

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Boundary Feedback ◽

Decay Of Solutions ◽

Shaped Domain ◽

Nonlinear Boundary Feedback

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