The exponential tracking and disturbance rejection for the nonlinear wave equation via boundary control without any geometrical conditions on the domain

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125863 ◽

2021 ◽

pp. 125863

Author(s):

Weijiu Liu

Keyword(s):

Wave Equation ◽

Boundary Control ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Disturbance Rejection

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Existence and uniqueness of solutions for a class of abstract nonlinear wave equation

Proceedings of the seventh International Colloquium on Differential Equations ◽

10.1515/9783112319185-009 ◽

1997 ◽

pp. 57-66

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Existence And Uniqueness ◽

Uniqueness Of Solutions

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Resonant line wave soliton solutions and interaction solutions for (2+1)-dimensional nonlinear wave equation

Results in Physics ◽

10.1016/j.rinp.2021.104480 ◽

2021 ◽

pp. 104480

Author(s):

Qingqing Chen ◽

Zequn Qi ◽

Junchao Chen ◽

Biao Li

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Soliton Solutions ◽

Resonant Line ◽

Interaction Solutions

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On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

Journal of Mathematical Physics ◽

10.1063/5.0003515 ◽

2021 ◽

Vol 62 (3) ◽

pp. 031512

Author(s):

Adel M. Al-Mahdi ◽

Mohammad M. Al-Gharabli ◽

Mohammad Kafini ◽

Shadi Al-Omari

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

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Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential

Boundary Value Problems ◽

10.1186/s13661-019-1225-x ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Guanghua Shi ◽

Dongfeng Yan

Keyword(s):

Wave Equation ◽

Periodic Solutions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation

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Generalized solution of a nonlinear wave equation with nonlinear boundary conditions of the first, second, and third kinds

Differential Equations ◽

10.1134/s0012266109030112 ◽

2009 ◽

Vol 45 (3) ◽

pp. 416-428

Author(s):

V. A. Terletskii ◽

E. A. Lutkovskaya

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Generalized Solution

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Local absorbing boundary conditions for nonlinear wave equation on unbounded domain

Physical Review E ◽

10.1103/physreve.84.036707 ◽

2011 ◽

Vol 84 (3) ◽

Author(s):

Hongwei Li ◽

Xiaonan Wu ◽

Jiwei Zhang

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Unbounded Domain ◽

Nonlinear Wave Equation ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary

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Global attractor for a nonlinear wave equation arising in elastic waveguide model

Nonlinear Analysis ◽

10.1016/j.na.2008.02.114 ◽

2009 ◽

Vol 70 (5) ◽

pp. 2132-2142 ◽

Author(s):

Zhijian Yang

Keyword(s):

Wave Equation ◽

Global Attractor ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Elastic Waveguide ◽

Waveguide Model

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Global existence and energy decay of solutions to a nonlinear wave equation with a delay term

Georgian Mathematical Journal ◽

10.1515/gmj-2013-0006 ◽

2013 ◽

Vol 20 (1) ◽

pp. 1-24 ◽

Author(s):

Abbes Benaissa ◽

Naima Louhibi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Energy Decay ◽

Decay Of Solutions

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Lower dimensional invariant tori with prescribed frequency for nonlinear wave equation

Journal of Differential Equations ◽

10.1016/j.jde.2010.04.003 ◽

2010 ◽

Vol 249 (11) ◽

pp. 2796-2821 ◽

Author(s):

Jiansheng Geng ◽

Xiufang Ren

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Invariant Tori ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Quasi-periodic solutions for a nonlinear wave equation

Commentarii Mathematici Helvetici ◽

10.1007/bf02566420 ◽

1996 ◽

Vol 71 (1) ◽

pp. 269-296 ◽

Author(s):

Jürgen Pöschel

Keyword(s):

Wave Equation ◽

Periodic Solutions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation

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