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Matematicheskie Zametki, 2015, Volume 97, Issue 1, Pages 13–22
DOI: https://doi.org/10.4213/mzm10469 (Mi mzm10469) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the Regularity of Solutions of the Cauchy Problem for the Zakharov–Kuznetsov Equation in Hölder Norms

A. P. Antonova, A. V. Faminskii

Peoples Friendship University of Russia, Moscow
Full-text PDF (468 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm10469
Abstract: The problem of the interior regularity of generalized solutions of the Cauchy problem for the Zakharov–Kuznetsov equation is studied. The existence of Hölder-continuous derivatives of given solutions is established. The study is based on the properties of the fundamental solution of the corresponding linearized equation.
Keywords: Zakharov–Kuznetsov equation, Cauchy problem, interior regularity of a solution, Korteweg–de Vries equation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 333
This work was supported by the Ministry of Education and Science of the Russian Federation (grant no. 333).
Received: 04.12.2013
English version:
Mathematical Notes, 2015, Volume 97, Issue 1, Pages 12–20
DOI: https://doi.org/10.1134/S0001434615010022
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. P. Antonova, A. V. Faminskii, “On the Regularity of Solutions of the Cauchy Problem for the Zakharov–Kuznetsov Equation in Hölder Norms”, Mat. Zametki, 97:1 (2015), 13–22; Math. Notes, 97:1 (2015), 12–20
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
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