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

Wu, Jianhua

doi:10.1016/j.na.2012.07.032

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Introduction3

G(t -S) U(t) -U(s) Ds D1

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2013

2022

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Cited by 20 publications

(5 citation statements)

References 31 publications

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“…All authors read and approved the final manuscript. 1 Department of Mathematics, Pusan National University, Pusan, 46241, South Korea. 2 Department of Mathematics Education, Seowon University, Cheongju, 28674, South Korea.…”

Section: G(t -S) U(t) -U(s) Ds Dmentioning

confidence: 99%

General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions

2016

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Section: G(t -S) U(t) -U(s) Ds Dmentioning

confidence: 99%

General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions

2016

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“…All authors read and approved the final manuscript. 1 Department of Mathematics, Pusan National University, Pusan, 609-735, Republic of Korea. 2 Institute of Basic Liberal Education, Catholic University of Daegu, Gyeongsan-si, Gyeongsangbuk-do 680-749, Republic of Korea.…”

Section: Competing Interestsmentioning

confidence: 99%

Exponential decay rate for a quasilinear von Karman equation of memory type with acoustic boundary conditions

2015

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In this paper, we show the exponential decay result of the quasilinear von Karman equation of memory type with acoustic boundary conditions. This work is devoted to investigating the influence of kernel function g and the effect of the nonlinear term |u | ρ u and to proving exponential decay rates of solutions when g does not necessarily decay exponentially. This result improves on earlier ones concerning the exponential decay. MSC: 35L70; 35B40; 76Exx

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“…This work is based on our previous result showing the existence of a suitably defined solution, which was given in [36]. Now the main result we have is the following.…”

Section: Introductionmentioning

confidence: 97%

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

Cited by 20 publications

References 31 publications

General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions

General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions

Exponential decay rate for a quasilinear von Karman equation of memory type with acoustic boundary conditions

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

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