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Sbornik: Mathematics, 2018, Volume 209, Issue 2, Pages 222–240
DOI: https://doi.org/10.1070/SM8816 (Mi sm8816) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A method for representing solutions of the Cauchy problem for linear partial differential equations

V. I. Gishlarkaev

Chechen State University, Grozny
English version PDF (522 kB) Citations (4) Russian version article
References:
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DOI: https://doi.org/10.1070/SM8816
Abstract: A method for solving the Cauchy problem for certain types of linear partial differential equations and pseudo-differential equations is proposed. A class of functions is specified for which the existence and uniqueness of solutions is proved. Applications of the results in applied problems are considered.
Bibliography: 8 titles.
Keywords: Fourier transform, Hopf equation, resolving operator, generalized functions with compact support.
Received: 12.09.2016 and 04.03.2017
Bibliographic databases:
Document Type: Article
UDC: 517.955
MSC: 35K30
Language: English
Original paper language: Russian
Citation: V. I. Gishlarkaev, “A method for representing solutions of the Cauchy problem for linear partial differential equations”, Sb. Math., 209:2 (2018), 222–240
Citation in format AMSBIB
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\pages 222--240
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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
    		Математический сборник Sbornik: Mathematics
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    Abstract page:586
    Russian version PDF:82
    English version PDF:35
    References:73
    First page:31
     
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