An Optimal Estimate for the Time Singular Limit of an Abstract Wave Equation

Ralph Chill; Alain Haraux

doi:10.1619/fesi.47.277

An Optimal Estimate for the Time Singular Limit of an Abstract Wave Equation

Funkcialaj Ekvacioj ◽

10.1619/fesi.47.277 ◽

2004 ◽

Vol 47 (2) ◽

pp. 277-290 ◽

Cited By ~ 8

Author(s):

Ralph Chill ◽

Alain Haraux

Keyword(s):

Wave Equation ◽

Singular Limit ◽

Optimal Estimate ◽

Abstract Wave Equation

Download Full-text

PARABOLIC SINGULAR LIMIT OF A WAVE EQUATION WITH LOCALIZED INTERIOR DAMPING

Communications in Contemporary Mathematics ◽

10.1142/s0219199701000330 ◽

2001 ◽

Vol 03 (02) ◽

pp. 215-257 ◽

Cited By ~ 1

Author(s):

ANÍBAL RODRÍGUEZ-BERNAL ◽

ENRIQUE ZUAZUA

Keyword(s):

Wave Equation ◽

Singular Limit

Download Full-text

On elements of the Lax-Phillips scattering scheme for ρ-perturbations of an abstract wave equation

Ukrainian Mathematical Journal ◽

10.1007/bf02514201 ◽

1998 ◽

Vol 50 (12) ◽

pp. 1844-1859 ◽

Cited By ~ 1

Author(s):

S. A. Kuzhel’

Keyword(s):

Wave Equation ◽

Abstract Wave Equation

Download Full-text

Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equation under the Bardos-Lebeau-Rauch geometric control condition

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(02)00256-0 ◽

2002 ◽

Vol 44 (10-11) ◽

pp. 1289-1296 ◽

Cited By ~ 4

Author(s):

K.-D. Phung

Keyword(s):

Wave Equation ◽

Heat Equation ◽

Exact Controllability ◽

Singular Limit ◽

Null Controllability ◽

Geometric Control ◽

Dissipative Wave Equation

Download Full-text

Parabolic singular limit of a wave equation with localized boundary damping

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.1995.1.303 ◽

1995 ◽

Vol 1 (3) ◽

pp. 303-346 ◽

Cited By ~ 13

Author(s):

Aníbal Rodríguez-Bernal ◽

◽

Enrique Zuazua

Keyword(s):

Wave Equation ◽

Singular Limit ◽

Boundary Damping

Download Full-text

Convergence to equilibrium for solutions of an abstract wave equation with general damping function

Journal of Differential Equations ◽

10.1016/j.jde.2015.10.003 ◽

2016 ◽

Vol 260 (3) ◽

pp. 2259-2274 ◽

Cited By ~ 1

Author(s):

Tomáš Bárta ◽

Eva Fašangová

Keyword(s):

Wave Equation ◽

Convergence To Equilibrium ◽

Damping Function ◽

Abstract Wave Equation

Download Full-text

Stability of an abstract-wave equation with delay and a Kelvin–Voigt damping

Asymptotic Analysis ◽

10.3233/asy-151317 ◽

2015 ◽

Vol 95 (1-2) ◽

pp. 21-38 ◽

Cited By ~ 5

Author(s):

Kaïs Ammari ◽

Serge Nicaise ◽

Cristina Pignotti

Keyword(s):

Wave Equation ◽

Abstract Wave Equation ◽

Equation With Delay

Download Full-text

Saturation Theorems Connected with the Abstract Wave Equation

SIAM Journal on Mathematical Analysis ◽

10.1137/0509005 ◽

1978 ◽

Vol 9 (1) ◽

pp. 54-64 ◽

Cited By ~ 1

Author(s):

John W. Dettman

Keyword(s):

Wave Equation ◽

Abstract Wave Equation

Download Full-text

On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation

Ukrainian Mathematical Journal ◽

10.1023/b:ukma.0000010254.76966.95 ◽

2003 ◽

Vol 55 (5) ◽

pp. 749-760 ◽

Cited By ~ 1

Author(s):

S. A. Kuzhel'

Keyword(s):

Wave Equation ◽

Abstract Wave Equation

Download Full-text

On the inverse problem for perturbations of an abstract wave equation in the LAX-Phillips scattering scheme

Ukrainian Mathematical Journal ◽

10.1007/bf02487285 ◽

2000 ◽

Vol 52 (5) ◽

pp. 729-740

Author(s):

S. A. Kuzhel’

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Abstract Wave Equation

Download Full-text

Bifurcation conditions for a solution of an abstract wave equation

Differential Equations ◽

10.1134/s0012266107040076 ◽

2007 ◽

Vol 43 (4) ◽

pp. 495-502 ◽

Cited By ~ 1

Author(s):

A. A. Boichuk ◽

I. A. Korostil ◽

M. Fečkan

Keyword(s):

Wave Equation ◽

Abstract Wave Equation

Download Full-text