The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability

SIAM Journal on Control and Optimization ◽

10.1137/140971348 ◽

2015 ◽

Vol 53 (4) ◽

pp. 2582-2607 ◽

Author(s):

Z. Abbas ◽

S. Nicaise

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Polynomial Stability ◽

Acoustic Boundary Conditions

Download Full-text

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

Nonlinear Analysis ◽

10.1016/j.na.2014.08.021 ◽

2015 ◽

Vol 112 ◽

pp. 105-117 ◽

Author(s):

Jing Li ◽

Shugen Chai

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Variable Coefficients ◽

Time Varying ◽

Acoustic Boundary Conditions ◽

Time Varying Delay ◽

Boundary Feedback ◽

Download Full-text

Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions

Boundary Value Problems ◽

10.1186/s13661-017-0773-1 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Jin-Mun Jeong ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Quasilinear Wave Equation ◽

Acoustic Boundary Conditions ◽

Global Nonexistence ◽

Nonexistence Of Solutions

Download Full-text

General Decay for a Coupled System of Viscoelastic Wave Equation of Infinite Memory with Acoustic Boundary Conditions

10.1109/icrami52622.2021.9585955 ◽

2021 ◽

Author(s):

Abdelaziz Limam ◽

Benyattou Benabderrahmane ◽

Yamna Boukhatem

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Coupled System ◽

General Decay ◽

Acoustic Boundary Conditions ◽

Infinite Memory ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

Download Full-text

Global Nonexistence for A Viscoelastic Wave Equation with Acoustic Boundary Conditions

Acta Mathematica Scientia ◽

10.1007/s10473-020-0111-2 ◽

2019 ◽

Vol 40 (1) ◽

pp. 155-169 ◽

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Global Nonexistence ◽

Viscoelastic Wave

Download Full-text

Global nonexistence of solutions for a nonlinear wave equation with time delay and acoustic boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.05.006 ◽

2018 ◽

Vol 76 (3) ◽

pp. 661-671

Author(s):

Jin-Mun Jeong ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Acoustic Boundary Conditions ◽

Global Nonexistence ◽

Nonexistence Of Solutions

Download Full-text

Existence of Solutions for the Kirchhoff-Type Wave Equation with Memory Term and Acoustic Boundary Conditions

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.498301 ◽

2010 ◽

Vol 31 (8) ◽

pp. 921-935 ◽

Author(s):

Tae Gab Ha ◽

Jong Yeoul Park

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Existence Of Solutions ◽

Memory Term ◽

Acoustic Boundary Conditions ◽

Kirchhoff Type ◽

Type Wave ◽

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

General Energy Decay Rates for a Nonlinear Wave Equation of Kirchhoff Type with Memory and Acoustic Boundary Conditions

Funkcialaj Ekvacioj ◽

10.1619/fesi.63.1 ◽

2020 ◽

Vol 63 (1) ◽

pp. 1-18

Author(s):

Tae Gab Ha ◽

Jong Yeoul Park

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Decay Rates ◽

Acoustic Boundary Conditions ◽

Kirchhoff Type ◽

General Energy ◽

Energy Decay Rates ◽

Download Full-text

On the wave equation with semilinear porous acoustic boundary conditions

Journal of Differential Equations ◽

10.1016/j.jde.2012.01.042 ◽

2012 ◽

Vol 252 (9) ◽

pp. 4898-4941 ◽

Author(s):

Philip Jameson Graber ◽

Belkacem Said-Houari

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions

Download Full-text