Trudy Seminara imeni I. G. Petrovskogo
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Trudy Seminara imeni I. G. Petrovskogo, 2016, Issue 31, Pages 22–37 (Mi tsp88)  
This article is cited in 4 scientific papers (total in 4 papers)

Model elliptic boundary-value problems for pseudodifferential operators in canonical nonsmooth domains

V. B. Vasilyev
Full-text PDF (170 kB) Citations (4)
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Abstract: We consider a simplest elliptic pseudodifferential equation in a multi-dimensional cone (multi-dimensional angle) and describe all possible structures of its solutions related to the wave factorization of the elliptic symbol. Depending on the index of wave factorization, we consider various statements of well-posed boundary-value problems. The existence of solutions is studied in Sobolev–Slobodetskii spaces.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 4, Pages 397–406
DOI: https://doi.org/10.1007/s10958-018-4018-3
Bibliographic databases:
Document Type: Article
UDC: 517.95+517.983
Language: Russian
Citation: V. B. Vasilyev, “Model elliptic boundary-value problems for pseudodifferential operators in canonical nonsmooth domains”, Tr. Semim. im. I. G. Petrovskogo, 31, 2016, 22–37; J. Math. Sci. (N. Y.), 234:4 (2018), 397–406
Citation in format AMSBIB
\Bibitem{Vas16}
\by V.~B.~Vasilyev
\paper Model elliptic boundary-value problems for pseudodifferential operators in canonical nonsmooth domains
\serial Tr. Semim. im. I.~G.~Petrovskogo
\yr 2016
\vol 31
\pages 22--37
\mathnet{http://mi.mathnet.ru/tsp88}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 4
\pages 397--406
\crossref{https://doi.org/10.1007/s10958-018-4018-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052851216}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:26
     
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