@article{bwmeta1.element.bwnjournal-article-bcpv27z1p197bwm,
author = {Kapitonov, B.},
title = {Stabilization of solutions of an exterior boundary value problem for some class of evolution systems},
journal = {Banach Center Publications},
volume = {27},
year = {1992},
pages = {197-205},
zbl = {0837.35021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p197bwm}
}
Kapitonov, B. Stabilization of solutions of an exterior boundary value problem for some class of evolution systems. Banach Center Publications, Tome 27 (1992) pp. 197-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p197bwm/
[000] [1] C. Bloom, A rate of approach to the steady state of solutions of second-order hyperbolic equation, J. Differential Equations 19 (1975), 296-329. | Zbl 0338.35060
[001] [2] C. Bloom and H. Kazarinoff, Local energy decay for a class of nonstarshaped bodies, Arch. Rational Mech. Anal. 55 (1974), 73-85. | Zbl 0291.35053
[002] [3] G. Dassios, Local energy decay for scattering of elastic waves, J. Differential Equations 49 (1983), 124-141. | Zbl 0476.35063
[003] [4] B. V. Kapitonov, On the behavior, as t → ∞, of solutions of an exterior boundary value problem with the Leontovich condition for the Maxwell system, Soviet Math. Dokl. 37 (1988), 377-380. | Zbl 0694.35016
[004] [5] B. V. Kapitonov, On exponential decay as t → ∞ of solutions of an exterior boundary value problem for the Maxwell system, Math. USSR-Sb. 66 (1990), 475-498. | Zbl 0706.35018
[005] [6] B. V. Kapitonov, On the decay as t → ∞ of the solutions of the Cauchy problem for the Maxwell system in an inhomogeneous medium, in: Qualitative Analysis of Solutions of Partial Differential Equations, S. K. Godunov (ed.), Inst. Mat., Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk 1985, 100-109 (in Russian).
[006] [7] B. V. Kapitonov, On the decay of the solution of an exterior boundary value problem for the linear system of elasticity, Differentsial'nye Uravneniya 22 (1986), 452-458 (in Russian).
[007] [8] B. V. Kapitonov, Decay of solutions of an exterior boundary value problem and the principle of limiting amplitude for a hyperbolic system, Soviet Math. Dokl. 33 (1986), 243-247. | Zbl 0616.35051
[008] [9] B. V. Kapitonov, Behavior as t → ∞ of the solutions of the exterior boundary-value problem for a hyperbolic system, Siberian Math. J. (1988), 444-457. | Zbl 0645.35059
[009] [10] B. V. Kapitonov, On the decay as t → ∞ of solutions of an exterior boundary value problem for a strongly hyperbolic system, Soviet Math. Dokl. 41 (1990), 236-240. | Zbl 0724.35018
[010] [11] B. V. Kapitonov, Stabilization of solutions and the principle of limiting absorption for a high order system, preprint 23, Inst. Mat., Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk 1989 (in Russian).
[011] [12] B. V. Kapitonov, Stabilization of solutions of mixed problems for a class of evolution systems, doctoral thesis, Novosibirsk 1990 (in Russian).
[012] [13] G. P. Menzala, Large time behavior of elastic waves in inhomogeneous medium, Boll. Un. Mat. Ital. B (7) 3 (1985), 95-108. | Zbl 0692.73022
[013] [14] V. P. Mikhailov, On the principle of limiting amplitude, Dokl. Akad. Nauk SSSR 159 (1964), 750-752 (in Russian).
[014] [15] C. Morawetz, The decay of solutions of the exterior initial-boundary value problem for the wave equation, Comm. Pure Appl. Math. 14 (1961), 561-568. | Zbl 0101.07701
[015] [16] C. Morawetz, The limiting amplitude principle, ibid. 15 (1962), 349-361. | Zbl 0196.41202
[016] [17] C. Morawetz, Energy decay for star-shaped obstacles, Appendix 3 to: P. D. Lax and R. S. Phillips, Scattering Theory, Academic Press, 1967, 261-264.
[017] [18] C. Morawetz, J. Ralston and W. Strauss, Decay of solutions of the wave equation outside nontrapping obstacles, Comm. Pure Appl. Math. 30 (1977), 447-508. | Zbl 0372.35008
[018] [19] L. A. Muraveĭ, Asymptotic behaviour for large values of time of solutions of the second and third exterior boundary value problems for the wave equation with two space variables, Trudy Mat. Inst. Steklov. 126 (1973), 73-144 (in Russian).
[019] [20] L. A. Muraveĭ, On the asymptotic behaviour for large values of time of a solution of an exterior boundary value problem for the wave equation, Dokl. Akad. Nauk SSSR 220 (1975), 289-292 (in Russian). | Zbl 0318.35053
[020] [21] W. Strauss, Dispersal of waves vanishing on the boundary of an exterior domain, Comm. Pure Appl. Math. 28 (1975), 265-278. | Zbl 0297.35047
[021] [22] H. Tamura, On the decay of the local energy for wave equations with a moving obstacle, Nagoya Math. J. 71 (1978), 125-147. | Zbl 0405.35046
[022] [23] H. Tamura, Local energy decays for wave equations with time-dependent coefficients, ibid. 107-123. | Zbl 0401.35064
[023] [24] E. C. Zachmanoglou, The decay of solutions of the initial-boundary value problem for hyperbolic equations, J. Math. Anal. Appl. 13 (1966), 504-515. | Zbl 0135.31702