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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 871–889 (Mi smj2463)  

This article is cited in 8 scientific papers (total in 8 papers)

Solvability of boundary value problems in a half-space for differential equations with constant coefficients in the class of tempered distributions

A. L. Pavlov

Donetsk National University, Donetsk, Ukraine
Full-text PDF (387 kB) Citations (8)
References:
Abstract: We present sufficient conditions for existence of solutions to general boundary value problems in a half-space for homogeneous differential equations with constant coefficients and arbitrary boundary data in the space of tempered distributions.
Keywords: boundary value problem, multiplier, regularization of distributions, Fourier transform.
Received: 10.08.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 4, Pages 697–712
DOI: https://doi.org/10.1134/S0037446613040101
Bibliographic databases:
Document Type: Article
UDC: 517.954
Language: Russian
Citation: A. L. Pavlov, “Solvability of boundary value problems in a half-space for differential equations with constant coefficients in the class of tempered distributions”, Sibirsk. Mat. Zh., 54:4 (2013), 871–889; Siberian Math. J., 54:4 (2013), 697–712
Citation in format AMSBIB
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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