Energy decay of variable‐coefficient wave equation with nonlinear acoustic boundary conditions and source term

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5505 ◽

2019 ◽

Vol 42 (6) ◽

pp. 2109-2123 ◽

Author(s):

Jianghao Hao ◽

Wenhua He

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Variable Coefficient ◽

Source Term ◽

Energy Decay ◽

Acoustic Boundary Conditions ◽

Nonlinear Acoustic

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Uniform energy decay of a variable coefficient wave equation with nonlinear acoustic boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.09.056 ◽

2013 ◽

Vol 399 (1) ◽

pp. 369-377 ◽

Author(s):

Jieqiong Wu

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Variable Coefficient ◽

Energy Decay ◽

Acoustic Boundary Conditions ◽

Nonlinear Acoustic

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Energy decay of a variable-coefficient wave equation with memory type acoustic boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.09.039 ◽

2016 ◽

Vol 434 (1) ◽

pp. 882-893 ◽

Author(s):

Jieqiong Wu ◽

Shengjia Li ◽

Fei Feng

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Variable Coefficient ◽

Energy Decay ◽

Acoustic Boundary Conditions ◽

Memory Type ◽

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Energy decay of variable-coefficient wave equation with acoustic boundary conditions and delay

Applicable Analysis ◽

10.1080/00036811.2017.1395866 ◽

2017 ◽

Vol 98 (3) ◽

pp. 499-515

Author(s):

Jianghao Hao ◽

Wenhua He

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Variable Coefficient ◽

Energy Decay ◽

Acoustic Boundary Conditions

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Wave equation with porous nonlinear acoustic boundary conditions generates a well-posed dynamical system

Nonlinear Analysis ◽

10.1016/j.na.2010.06.075 ◽

2010 ◽

Vol 73 (9) ◽

pp. 3058-3068 ◽

Author(s):

P. Jameson Graber

Keyword(s):

Dynamical System ◽

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Nonlinear Acoustic ◽

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Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping

Journal of Evolution Equations ◽

10.1007/s00028-011-0127-x ◽

2011 ◽

Vol 12 (1) ◽

pp. 141-164 ◽

Author(s):

P. Jameson Graber

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Boundary Stabilization ◽

Acoustic Boundary Conditions ◽

Boundary Damping ◽

Nonlinear Acoustic

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Energy decay for the wave equation of variable coefficients with acoustic boundary conditions in domains with nonlocally reacting boundary

Applied Mathematics Letters ◽

10.1016/j.aml.2017.09.005 ◽

2018 ◽

Vol 76 ◽

pp. 201-207 ◽

Author(s):

Tae Gab Ha

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Variable Coefficients ◽

Energy Decay ◽

Acoustic Boundary Conditions

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WITHDRAWN: Energy decay rates for solutions of the wave equation with damping term and acoustic boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.03.015 ◽

2009 ◽

Author(s):

Jong Yeoul Park ◽

Tae Gab Ha

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Energy Decay ◽

Decay Rates ◽

Damping Term ◽

Acoustic Boundary Conditions ◽

Energy Decay Rates

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Well-posedness for a variable-coefficient wave equation with nonlinear damped acoustic boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2012.07.032 ◽

2012 ◽

Vol 75 (18) ◽

pp. 6562-6569 ◽

Author(s):

Jieqiong Wu

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Variable Coefficient ◽

Well Posedness ◽

Acoustic Boundary Conditions

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Energy decay rates for the semilinear wave equation with memory boundary condition and acoustic boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.038 ◽

2017 ◽

Vol 73 (9) ◽

pp. 1975-1986 ◽

Author(s):

Jin-Mun Jeong ◽

Jong Yeoul Park ◽

Yong Han Kang

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Boundary Conditions ◽

Energy Decay ◽

Decay Rates ◽

Acoustic Boundary Conditions ◽

Semilinear Wave Equation ◽

Energy Decay Rates ◽

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Blow-up of solution of wave equation with internal and boundary source term and non-porous viscoelastic acoustic boundary conditions

Mathematische Nachrichten ◽

10.1002/mana.201700282 ◽

2018 ◽

Vol 292 (3) ◽

pp. 645-660

Author(s):

André Vicente

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Source Term ◽

Blow Up ◽

Acoustic Boundary Conditions ◽

Boundary Source

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