General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping

Donghao Li sci

doi:10.4208/jpde.v32.n4.6

General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping

Journal of Partial Differential Equations ◽

10.4208/jpde.v32.n4.6 ◽

2019 ◽

Vol 32 (4) ◽

pp. 369-380

Author(s):

Donghao Li sci

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Energy Decay ◽

Boundary Damping ◽

Decay Of Solutions ◽

General Energy

Download Full-text

General energy decay of solutions for a weakly dissipative Kirchhoff equation with nonlinear boundary damping

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-017-0669-y ◽

2017 ◽

Vol 33 (2) ◽

pp. 401-408

Author(s):

Amir Peyravi

Keyword(s):

Nonlinear Boundary ◽

Energy Decay ◽

Kirchhoff Equation ◽

Boundary Damping ◽

Decay Of Solutions ◽

General Energy

Download Full-text

Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms

Journal of Mathematical Physics ◽

10.1063/5.0012614 ◽

2020 ◽

Vol 61 (7) ◽

pp. 071503

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Source Terms ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Decay Of Solutions ◽

Viscoelastic Wave ◽

Damping And Source Terms

Download Full-text

On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00163-7 ◽

2003 ◽

Vol 138 (2-3) ◽

pp. 463-478 ◽

Cited By ~ 2

Author(s):

Jeong Ja Bae ◽

Jong Yeoul Park ◽

Jin Mun Jeong

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Source Term ◽

Uniform Decay ◽

Boundary Damping ◽

Kirchhoff Type ◽

Memory Source ◽

Decay Of Solutions

Download Full-text

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 ◽

Cited By ~ 4

Author(s):

Abbes Benaissa ◽

Naima Louhibi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Energy Decay ◽

Delay Term ◽

Decay Of Solutions

Download Full-text

Energy decay of solutions to the Cauchy problem for a nondissipative wave equation

Journal of Mathematical Physics ◽

10.1063/1.3517413 ◽

2010 ◽

Vol 51 (12) ◽

pp. 123504 ◽

Cited By ~ 1

Author(s):

Abbes Benaissa ◽

Sohbi Benazzouz

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Energy Decay ◽

Decay Of Solutions ◽

The Cauchy Problem

Download Full-text

A mixed finite element method for solving coupled wave equation of Kirchhofftype with nonlinear boundary damping and memory term

Authorea ◽

10.22541/au.158679888.83392381 ◽

2020 ◽

Author(s):

Maryam Parvizi ◽

Amirreza Khodadadian ◽

Mohammad Reza Eslahchi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Nonlinear Boundary ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Memory Term ◽

Boundary Damping ◽

Element Method ◽

Coupled Wave

Download Full-text

Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2009.2.67 ◽

2009 ◽

Vol 2 (1) ◽

pp. 67-94 ◽

Cited By ~ 34

Author(s):

Moez Daoulatli ◽

◽

Irena Lasiecka ◽

Daniel Toundykov ◽

◽

...

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Energy Decay ◽

Boundary Dissipation ◽

Growth Restrictions

Download Full-text

Global Solvability and Asymptotic Stability for the Wave Equation with Nonlinear Boundary Damping and Source Term

Progress in Nonlinear Differential Equations and Their Applications - Contributions to Nonlinear Analysis ◽

10.1007/3-7643-7401-2_11 ◽

2005 ◽

pp. 161-184 ◽

Cited By ~ 5

Author(s):

M.M. Cavalcanti ◽

V.N. Domingos Cavalcanti ◽

J.A. Soriano

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Nonlinear Boundary ◽

Source Term ◽

Global Solvability ◽

Boundary Damping

Download Full-text

Energy decay rates for solutions of the wave equation with boundary damping and source term

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-009-0009-z ◽

2009 ◽

Vol 61 (2) ◽

pp. 235-265 ◽

Cited By ~ 8

Author(s):

Jong Yeoul Park ◽

Tae Gab Ha ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Source Term ◽

Energy Decay ◽

Decay Rates ◽

Boundary Damping ◽

Energy Decay Rates

Download Full-text

Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks

Journal of Mathematical Physics ◽

10.1063/1.4765046 ◽

2012 ◽

Vol 53 (12) ◽

pp. 123514 ◽

Cited By ~ 17

Author(s):

Abbes Benaissa ◽

Abdelkader Benaissa ◽

Salim. A. Messaoudi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Energy Decay ◽

Time Varying ◽

Weakly Nonlinear ◽

Delay Term ◽

Time Varying Delay ◽

Decay Of Solutions ◽

Varying Delay

Download Full-text