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Sbornik: Mathematics, 1998, Volume 189, Issue 8, Pages 1251–1272
DOI: https://doi.org/10.1070/sm1998v189n08ABEH000334 (Mi sm334) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Stabilization of the solutions of the wave equation in domains with non-compact boundaries

A. V. Filinovskii

N. E. Bauman Moscow State Technical University
English version PDF (280 kB) Citations (6)
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DOI: https://doi.org/10.1070/sm1998v189n08ABEH000334
Abstract: 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.
Received: 20.11.1997
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 8, Pages 141–160
DOI: https://doi.org/10.4213/sm334
Bibliographic databases:
UDC: 517.956.3
MSC: Primary 35L05; Secondary 35B40
Language: English
Original paper language: Russian
Citation: A. V. Filinovskii, “Stabilization of the solutions of the wave equation in domains with non-compact boundaries”, Mat. Sb., 189:8 (1998), 141–160; Sb. Math., 189:8 (1998), 1251–1272
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:66
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