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Sbornik: Mathematics, 2001, Volume 192, Issue 12, Pages 1763–1798
DOI: https://doi.org/10.1070/SM2001v192n12ABEH000615
(Mi sm615)
 

This article is cited in 29 scientific papers (total in 29 papers)

Solutions of exterior boundary-value problems for the elasticity system in weighted spaces

H. Matevossian

M. V. Lomonosov Moscow State University
References:
Abstract: The properties of generalized solutions of the exterior Dirichlet and Neumann boundary-value problems are studied for the stationary linear system of elasticity theory in unbounded domains under the assumption that generalized solutions of these problems have finite energy integrals with weight $|x|^a$. Depending on the value of the parameter $a$ uniqueness results are established and explicit formulae for the dimension of the space of solutions of the exterior boundary-value problems are obtained.
Received: 17.01.2000 and 30.01.2001
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 12, Pages 25–60
DOI: https://doi.org/10.4213/sm615
Bibliographic databases:
UDC: 517.95
MSC: Primary 74B05, 35G15; Secondary 74H20, 74H25
Language: English
Original paper language: Russian
Citation: H. Matevossian, “Solutions of exterior boundary-value problems for the elasticity system in weighted spaces”, Mat. Sb., 192:12 (2001), 25–60; Sb. Math., 192:12 (2001), 1763–1798
Citation in format AMSBIB
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Linking options:
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  • https://doi.org/10.1070/SM2001v192n12ABEH000615
  • https://www.mathnet.ru/eng/sm/v192/i12/p25
  • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:534
    Russian version PDF:225
    English version PDF:10
    References:62
    First page:1
     
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