Well‐posedness and energy decay of solutions to a wave equation with a general boundary control of diffusive type

Abbes Benaissa; Said Rafa

doi:10.1002/mana.201800224

Well‐posedness and energy decay of solutions to a wave equation with a general boundary control of diffusive type

Mathematische Nachrichten ◽

10.1002/mana.201800224 ◽

2019 ◽

Vol 292 (8) ◽

pp. 1644-1673

Author(s):

Abbes Benaissa ◽

Said Rafa

Keyword(s):

Wave Equation ◽

Boundary Control ◽

Energy Decay ◽

General Boundary ◽

Well Posedness ◽

Decay Of Solutions

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Energy Decay of Solutions to a Nondegenerate Wave Equation with a Fractional Boundary Control

Journal of Partial Differential Equations ◽

10.4208/jpde.v34.n3.1 ◽

2021 ◽

Vol 34 (3) ◽

pp. 201-223

Author(s):

global MohamedTahri

Keyword(s):

Wave Equation ◽

Boundary Control ◽

Energy Decay ◽

Decay Of Solutions

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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

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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

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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

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Energy decay of solutions for the wave equation with a time-varying delay term in the weakly nonlinear internal feedbacks

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017024 ◽

2017 ◽

Vol 22 (2) ◽

pp. 491-506

Author(s):

Ferhat Mohamed ◽

◽

Hakem Ali

Keyword(s):

Wave Equation ◽

Energy Decay ◽

Time Varying ◽

Weakly Nonlinear ◽

Delay Term ◽

Time Varying Delay ◽

Decay Of Solutions ◽

Varying Delay

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SOME RESULTS ON GLOBAL EXISTENCE AND ENERGY DECAY OF SOLUTIONS TO THE CAUCHY PROBLEM FOR A WAVE EQUATION WITH A NONLINEAR DISSIPATION

More Progresses in Analysis ◽

10.1142/9789812835635_0052 ◽

2009 ◽

Author(s):

ABBES BENAISSA

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Global Existence ◽

Energy Decay ◽

Nonlinear Dissipation ◽

Decay Of Solutions ◽

The Cauchy Problem

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Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation

Journal of Computational Physics ◽

10.1016/0021-9991(92)90396-g ◽

1992 ◽

Vol 103 (2) ◽

pp. 189-221 ◽

Cited By ~ 71

Author(s):

R Glowinski

Keyword(s):

Wave Equation ◽

Boundary Control ◽

Stokes Problem ◽

Well Posedness

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General decay of solutions of a wave equation with a boundary control of memory type

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2009.10.013 ◽

2010 ◽

Vol 11 (4) ◽

pp. 2896-2904 ◽

Cited By ~ 29

Author(s):

Salim A. Messaoudi ◽

Abdelaziz Soufyane

Keyword(s):

Wave Equation ◽

Boundary Control ◽

General Decay ◽

Decay Of Solutions ◽

Memory Type

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Energy decay of solutions of the first mixed problem for the wave equation in regions with noncompact boundary

Mathematical Notes ◽

10.1007/bf02686256 ◽

2000 ◽

Vol 67 (2) ◽

pp. 256-260

Author(s):

A. V. Filinovskii

Keyword(s):

Wave Equation ◽

Mixed Problem ◽

Energy Decay ◽

Noncompact Boundary ◽

Decay Of Solutions

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Energy Decay of Solutions to a Wave Equation with a Dynamic Boundary Dissipation of Fractional Derivative Type

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1616 ◽

2018 ◽

Vol 37 (3) ◽

pp. 315-339 ◽

Cited By ~ 3

Author(s):

Abbes Benaissa ◽

Hanane Benkhedda

Keyword(s):

Wave Equation ◽

Fractional Derivative ◽

Energy Decay ◽

Dynamic Boundary ◽

Decay Of Solutions ◽

Derivative Type ◽

Boundary Dissipation

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