Geodesic
Stabilization of the~solutions of the~wave equation in domains with non-compact boundaries
Sbornik. Mathematics, Tome 189 (1998) no. 8, pp. 1251-1272

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The asymptotic behaviour (for large values of time) of the solutions of the first mixed boundary-value problem for the wave equation in domains with non-compact, non-star-shaped boundaries is considered. Estimates with respect to the spectral parameter of the solutions of the first boundary-value problem for the Helmholtz equation are obtained. 
@article{SM_1998_189_8_a6,
     author = {A. V. Filinovskii},
     title = {Stabilization of the~solutions of the~wave equation in domains with non-compact boundaries},
     journal = {Sbornik. Mathematics},
     pages = {1251--1272},
     publisher = {mathdoc},
     volume = {189},
     number = {8},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_8_a6/}
}
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A. V. Filinovskii. Stabilization of the~solutions of the~wave equation in domains with non-compact boundaries. Sbornik. Mathematics, Tome 189 (1998) no. 8, pp. 1251-1272. http://geodesic.mathdoc.fr/item/SM_1998_189_8_a6/