General decay for a semilinear wave equation with boundary frictional and memory conditions

키워드

참고문헌 (16)

1. M. Aassila, "Asymptotic stability and energy decay rates for solutions of the wave equation with memory in a star-shaped domain", SIAM J. Control Optim, 38(5), pp.1581~1602 (2000)
2. F. Alabau-Boussouira, "Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems", Appl. Math. Optim, 51(1), pp.61~105 (2005)
3. M. M. Cavalcanti, "General decay rate estimates for viscoelastic dissipative systems", Nonlinear Anal, 68(1), pp.177~193 (2008)
4. M. M. Cavalcanti, "General decay rates of solutions to a nonlinear wave equation with boundary conditions of memory type", Differential Integral Equations, 18(5), pp.583~600 (2005)
5. A. Guesmia, "A new approach of stabilization of nondissipative distributed systems", SIAM J. Control Optim, 42(1), pp.24~52 (2003)
6. A. Guesmia, "General energy decay estimates of Timoshenko sys-tems with frictional versus viscoelastic damping", Math. Methods Appl. Sci, 32(16), pp.2102~2122 (2009)
7. V. Komornik, "Exact Controllability and Stabilization: The Multiplier Method" (1994), John Wi-ley and Sons
8. V. Komornik, "A direct method for the boundary stabilization of the wave equation", J. Math. Pures Appl. (9), 69(1), pp.33~54 (1990)
9. I. Lasiecka, "Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping", Differential Integral Equations, 6(3), pp.507~533 (1993)
10. P. Martinez, "A new method to obtain decay rate estimates for dissipative systems", ESAIM Control Optim. Calc. Var, 4, pp.419~444 (1999)
11. S. A. Messaoudi, "Messaoudi, General decay of solutions of a viscoelastic equation", J. Math. Anal. Appl, 341(2), pp.1457~1467 (2008)
12. S. A. Messaoudi, "General decay of solutions of a wave equation with a boundary control of memory type", Nonlinear Anal. R.W.A, 11(4), pp.2896~2904 (2010)
13. J. Y. Park, "On solutions for a hyperbolic system with differential in-clusion and memory source term on the boundary", Nonlinear Anal, 57(3), pp.459~472 (2004)
14. S. H. Park, "Jeong, Boundary stabilization of hyperbolic hemivari-ational inequalities", Acta Appl. Math, 104(2), pp.139~150 (2008)
15. R. Triggiani, "Wave equation on a bounded domain with boundary dissipation: An oper-ator approach", J. Math. Anal. Appl, 137(2), pp.438~461 (1989)
16. E. Zuazua, "Uniform stabilization of the wave equation by nonlinear boundary feedback", SIAM J. Control Optim, 28(2), pp.466~477 (1990)

관련 논문AI추천