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Sbornik: Mathematics, 1996, Volume 187, Issue 6, Pages 917–947
DOI: https://doi.org/10.1070/SM1996v187n06ABEH000141 (Mi sm141) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Stabilization of the solutions of the wave equation in unbounded domains

A. V. Filinovskii

N. E. Bauman Moscow State Technical University
English version PDF (941 kB) Citations (18)
References:
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DOI: https://doi.org/10.1070/SM1996v187n06ABEH000141
Abstract: The behaviour of the solution of the first mixed problem for the wave equation in an unbounded domain with smooth boundary is studied for large values of time. Estimates of the solution of the first boundary-value problem for the Helmholtz equation with spectral parameter in the closed upper half-plane are obtained, and uniqueness of its solution for a parameter on the real line is proved.
Received: 07.06.1995 and 11.01.1996
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 6, Pages 131–160
DOI: https://doi.org/10.4213/sm141
Bibliographic databases:
UDC: 517.956.3
MSC: 35L05, 35J05
Language: English
Original paper language: Russian
Citation: A. V. Filinovskii, “Stabilization of the solutions of the wave equation in unbounded domains”, Mat. Sb., 187:6 (1996), 131–160; Sb. Math., 187:6 (1996), 917–947
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:206
    English version PDF:15
    References:38
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