GLOBAL EXISTENCE AND UNIFORM DECAY OF COUPLED WAVE EQUATION OF KIRCHHOFF TYPE IN A NONCYLINDRICAL DOMAIN

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참고문헌 (13)

1. J. J. Bae, "On uniform decay of coupled wave equation of Kirchhoff type subject to memory condition on the boundary", Nonlinear Anal, 61(3), pp.351~372 (2005)
2. R. Benabidallah, "On hyperbolic-parabolic equations with nonlinearity of Kirchhoff-Carrier type in domains with moving boundary", Nonlinear Anal, 37(3), pp.269~287 (1999)
3. H. R. Clark, "On the dissipative Boussinesq equation in a non-cylindrical domain", Nonlinear Anal, 67(8), pp.2321~2334 (2007)
4. J. Ferreira, "Global solvability of a mixed problem for a nonlinear hyperbolic-parabolic equation in noncylindrical domains", Portugal. Math, 53(4), pp.381~395 (1996)
5. J. Ferreira, "Exponential decay for Kirch-hoff wave equation with nonlocal condition in a noncylindrical domain", Math. Comput. Modelling, 39(11-12), pp.1285~1295 (2004)
6. T. G. Ha, "Global existence and uniform decay of a damped Klein-Gordon equation in a noncylindrical domain", Nonlinear Anal, 74(2), pp.577~584 (2011)
7. J. L. Lions, "Quelques Methodes de Resolution des Problemes aux Limites Non Lineaires" (1969), Dunod
8. L. Liu, "Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms", Nonlinear Anal, 64(1), pp.69~91 (2006)
9. J. Y. Park, "Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term", J. Math. Phys, 49(5), pp.26~ (2008)
10. J. Y. Park, "Energy decay for nondissipative distributed systems with boundary damping and source term", Nonlinear Anal, 70(6), pp.2416~2434 (2009)
11. R. D. Passo, "Problemes de Dirichlet pour une classe d’equations paraboliques non lineaires dans des ouverts non cylindriques", C. R. Acad. Sci. Paris, 308, pp.555~558 (1989)
12. M. L. Santos, "Stability for a system of wave equations of Kirchhoff with coupled nonlinear and boundary conditions of memory type", Adv. Differential Equations, 8(7), pp.873~896 (2003)
13. M. L. Santos, "Global solvability and symptotic behavior for a nonlinear coupled system of viscoelastic waves with memory in noncylin-drical domain", J. Math. Anal. Appl, 325(2), pp.1077~1094 (2007)

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