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Mathematics of the USSR-Sbornik, 1987, Volume 58, Issue 1, Pages 245–265
DOI: https://doi.org/10.1070/SM1987v058n01ABEH003102 (Mi sm1867) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Parametrix and asymptotics of the spectral function of differential operators in $\mathbf R^n$

B. R. Vainberg
English version PDF (1096 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM1987v058n01ABEH003102
Abstract: A new formula is obtained for a global parametrix of the Cauchy problem for hyperbolic equations and systems which is an analogue of the representation of the Green function in terms of the spectral function of the corresponding steady-state operator. In the selfadjoint case this formula makes it possible to obtain a complete asymptotic expansion of the spectral function of elliptic operators in $\mathbf R^n$.
Bibliography: 18 titles.
Received: 25.01.1984 and 17.09.1984
Bibliographic databases:
UDC: 517.95
MSC: Primary 35L15; Secondary 35P99
Language: English
Original paper language: Russian
Citation: B. R. Vainberg, “Parametrix and asymptotics of the spectral function of differential operators in $\mathbf R^n$”, Math. USSR-Sb., 58:1 (1987), 245–265
Citation in format AMSBIB
\Bibitem{Vai86}
\by B.~R.~Vainberg
\paper Parametrix and asymptotics of the spectral function of differential operators in~$\mathbf R^n$
\jour Math. USSR-Sb.
\yr 1987
\vol 58
\issue 1
\pages 245--265
\mathnet{http://mi.mathnet.ru/eng/sm1867}
\crossref{https://doi.org/10.1070/SM1987v058n01ABEH003102}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=854974}
\zmath{https://zbmath.org/?q=an:0658.47048|0622.47051}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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