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In this paper, we consider the stabilization of the viscoelastic wave equation with variable coefficients in a bounded domain with smooth boundary, subject to linear dissipative internal feedback with a delay. Our stabilization result is mainly based on the use of the Riemannian geometry methods and Lyapunov functional techniques.
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참고문헌 (26)
참고문헌 신청
C. Abdallah / 1993 / Delayed positive feedback can stabilize oscillatory system / Proceedings of the American Control Conference :3106~3107
F. Alabau-Boussouira / 2008 / Decay estimates for second order evolution equations with memory / J. Funct. Anal 254(5):1342~1372
J. A. D. Appleby / 2006 / On exponential asymp-totic stability in linear viscoelasticity / Math. Models Methods Appl. Sci 16(10):1677~1694
M.M. Cavalcanti / 2007 / Uniform stabilization of the damped Cauchy-Ventcel problem with variable coefficients and dynamic boundary conditions / J. Math. Anal. Appl. 328(2):900~930
M. M. Cavalcanti / 2003 / Frictional versus viscoelastic damping in a semilin-ear wave equation / SIMA J. Control Optim 42(4):1310~1324
F. Alabau-Boussouira / 2008 / Decay estimates for second order evolution equations with memory / J. Funct. Anal 254(5):1342~1372
J. A. D. Appleby / 2006 / On exponential asymp-totic stability in linear viscoelasticity / Math. Models Methods Appl. Sci 16(10):1677~1694
M.M. Cavalcanti / 2007 / Uniform stabilization of the damped Cauchy-Ventcel problem with variable coefficients and dynamic boundary conditions / J. Math. Anal. Appl. 328(2):900~930
M. M. Cavalcanti / 2003 / Frictional versus viscoelastic damping in a semilin-ear wave equation / SIMA J. Control Optim 42(4):1310~1324
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