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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 871–889
(Mi smj2463)
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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
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
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
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https://www.mathnet.ru/eng/smj2463 https://www.mathnet.ru/eng/smj/v54/i4/p871
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Abstract page: | 211 | Full-text PDF : | 75 | References: | 50 |
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