Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions

Marcelo Moreira Cavalcanti; Valéria Neves Domingos Cavalcanti; Cícero Lopes Frota; André Vicente

doi:10.1137/19m1267556

Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions

SIAM Journal on Control and Optimization ◽

10.1137/19m1267556 ◽

2020 ◽

Vol 58 (4) ◽

pp. 2411-2445

Author(s):

Marcelo Moreira Cavalcanti ◽

Valéria Neves Domingos Cavalcanti ◽

Cícero Lopes Frota ◽

André Vicente

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Inhomogeneous Medium ◽

Acoustic Boundary Conditions ◽

Semilinear Wave Equation ◽

Localized Damping

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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 ◽

Cited By ~ 3

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 ◽

With Memory

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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 ◽

Cited By ~ 17

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 ◽

Varying Delay

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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) ◽

Cited By ~ 2

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

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Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms

Nonlinear Analysis ◽

10.1016/j.na.2005.07.024 ◽

2006 ◽

Vol 64 (8) ◽

pp. 1757-1797 ◽

Cited By ~ 68

Author(s):

Irena Lasiecka ◽

Daniel Toundykov

Keyword(s):

Wave Equation ◽

Energy Decay ◽

Decay Rates ◽

Source Terms ◽

Semilinear Wave Equation ◽

Energy Decay Rates ◽

Localized Damping ◽

Damping And Source Terms

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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

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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 ◽

Cited By ~ 1

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Global Nonexistence ◽

Viscoelastic Wave

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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 ◽

Time Delay ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Acoustic Boundary Conditions ◽

Global Nonexistence ◽

Nonexistence Of Solutions

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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 ◽

Cited By ~ 10

Author(s):

Z. Abbas ◽

S. Nicaise

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Polynomial Stability ◽

Acoustic Boundary Conditions

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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 ◽

Cited By ~ 4

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 ◽

With Memory

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Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation

Sbornik Mathematics ◽

10.1070/sm2014v205n04abeh004388 ◽

2014 ◽

Vol 205 (4) ◽

pp. 573-599 ◽

Cited By ~ 1

Author(s):

S. S. Kharibegashvili ◽

O. M. Jokhadze

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Mixed Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

One Dimensional ◽

Semilinear Wave Equation

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