# Stabilization of solutions of an exterior boundary value problem for some class of evolution systems

Banach Center Publications (1992)

- Volume: 27, Issue: 1, page 197-205
- ISSN: 0137-6934

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topKapitonov, B.. "Stabilization of solutions of an exterior boundary value problem for some class of evolution systems." Banach Center Publications 27.1 (1992): 197-205. <http://eudml.org/doc/262560>.

@article{Kapitonov1992,

author = {Kapitonov, B.},

journal = {Banach Center Publications},

keywords = {exterior boundary value problem; nonstandard energy identities},

language = {eng},

number = {1},

pages = {197-205},

title = {Stabilization of solutions of an exterior boundary value problem for some class of evolution systems},

url = {http://eudml.org/doc/262560},

volume = {27},

year = {1992},

}

TY - JOUR

AU - Kapitonov, B.

TI - Stabilization of solutions of an exterior boundary value problem for some class of evolution systems

JO - Banach Center Publications

PY - 1992

VL - 27

IS - 1

SP - 197

EP - 205

LA - eng

KW - exterior boundary value problem; nonstandard energy identities

UR - http://eudml.org/doc/262560

ER -

## References

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- [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. Zbl0706.35018
- [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).
- [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).
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- [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).
- [12] B. V. Kapitonov, Stabilization of solutions of mixed problems for a class of evolution systems, doctoral thesis, Novosibirsk 1990 (in Russian).
- [13] G. P. Menzala, Large time behavior of elastic waves in inhomogeneous medium, Boll. Un. Mat. Ital. B (7) 3 (1985), 95-108. Zbl0692.73022
- [14] V. P. Mikhailov, On the principle of limiting amplitude, Dokl. Akad. Nauk SSSR 159 (1964), 750-752 (in Russian).
- [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. Zbl0101.07701
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- [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.
- [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. Zbl0372.35008
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- [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). Zbl0318.35053
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