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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 4, Pages 824–844
DOI: https://doi.org/10.33048/smzh.2019.60.410 (Mi smj3118) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Existence of solutions to the Cauchy problem for some class of Sobolev-type equations in the space of tempered distributions

A. L. Pavlovab

a Donetsk National University, Donetsk, Ukraine
b Institute of Applied Mathematics and Mechanics, Donetsk, Ukraine
Full-text PDF (539 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2019.60.410
Abstract: We give sufficient conditions for existence of a solution to the Cauchy problem for the equation $P_1(D_x) \partial_t u-P_0(D_x) u=0$ in the space of tempered distributions.
Keywords: Cauchy problem, Sobolev-type equation, tempered distribution, multiplier.
Received: 03.11.2018
Revised: 03.11.2018
Accepted: 15.05.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 4, Pages 644–660
DOI: https://doi.org/10.1134/S0037446619040104
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: A. L. Pavlov, “Existence of solutions to the Cauchy problem for some class of Sobolev-type equations in the space of tempered distributions”, Sibirsk. Mat. Zh., 60:4 (2019), 824–844; Siberian Math. J., 60:4 (2019), 644–660
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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