Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.05.055 ◽

2012 ◽

Vol 218 (24) ◽

pp. 11900-11910 ◽

Author(s):

Stéphane Gerbi ◽

Belkacem Said-Houari

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Exponential Stability ◽

Damped Wave Equation ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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Analyticity and Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditions

Semigroup Forum ◽

10.1007/s00233-013-9534-3 ◽

2013 ◽

Vol 88 (2) ◽

pp. 333-365 ◽

Author(s):

Philip Jameson Graber ◽

Irena Lasiecka

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Gevrey Class ◽

Damped Wave Equation ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary ◽

Strongly Damped Wave Equation ◽

Gevrey Class Regularity ◽

Strongly Damped

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Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2011.07.026 ◽

2011 ◽

Vol 74 (18) ◽

pp. 7137-7150 ◽

Author(s):

S. Gerbi ◽

B. Said-Houari

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Boundary Conditions ◽

Blow Up ◽

Damped Wave Equation ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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Blow-Up and Asymptotic Behavior of Global Solution of Damped Wave Equation with Dynamic Boundary Conditions

Pure Mathematics ◽

10.12677/pm.2012.23023 ◽

2012 ◽

Vol 02 (03) ◽

pp. 144-151

Author(s):

妞靳

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Boundary Conditions ◽

Global Solution ◽

Blow Up ◽

Damped Wave Equation ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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动力边界条件的阻尼波动方程解的爆破性和渐近性Blow-Up and Asymptotic Behavior of Global Solution of Damped Wave Equation with Dynamic Boundary Conditions

Pure Mathematics ◽

10.4236/pm.2012.23023 ◽

2012 ◽

Vol 02 (03) ◽

pp. 144-151

Author(s):

靳妞

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Boundary Conditions ◽

Global Solution ◽

Blow Up ◽

Damped Wave Equation ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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On fractional powers of a closed pair of operators and a damped wave equation with dynamic boundary conditions

Applicable Analysis ◽

10.1080/00036819408840242 ◽

1994 ◽

Vol 53 (1-2) ◽

pp. 41-54 ◽

Author(s):

Marié Grobbelaar-van Dalsen

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Damped Wave Equation ◽

Dynamic Boundary Conditions ◽

Fractional Powers ◽

Dynamic Boundary

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Tracking control design for a wave equation with dynamic boundary conditions modeling a piezoelectric stack actuator

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.1611 ◽

2010 ◽

Vol 21 (5) ◽

pp. 542-562 ◽

Author(s):

T. Meurer ◽

A. Kugi

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Tracking Control ◽

Control Design ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary ◽

Piezoelectric Stack Actuator

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Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions

Advances in Nonlinear Analysis ◽

10.1515/anona-2012-0027 ◽

2013 ◽

Vol 0 (0) ◽

Author(s):

Stéphane Gerbi ◽

Belkacem Said-Houari

Keyword(s):

Wave Equation ◽

Global Existence ◽

Boundary Conditions ◽

Exponential Growth ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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Stability result for viscoelastic wave equation with dynamic boundary conditions

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-0983-0 ◽

2018 ◽

Vol 69 (4) ◽

Author(s):

Akram Ben Aissa ◽

Mohamed Ferhat

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Stability Result ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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The Wave Equation Together with Matheu-Hill and Laguerre Form Dynamic Boundary Conditions

World Journal of Mechanics ◽

10.4236/wjm.2011.16039 ◽

2011 ◽

Vol 01 (06) ◽

pp. 306-309

Author(s):

Kenan Koser

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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General Decay Rates for a Viscoelastic Wave Equation with Dynamic Boundary Conditions and Past History

Mediterranean Journal of Mathematics ◽

10.1007/s00009-018-1154-4 ◽

2018 ◽

Vol 15 (3) ◽

Author(s):

Baowei Feng

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Past History ◽

Decay Rates ◽

General Decay ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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