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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 281, Pages 7–15
DOI: https://doi.org/10.1134/S0371968513020027 (Mi tm3468) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Cauchy problem in a scale of Banach spaces

L. V. Ovsyannikov

Lavrent'ev Institute of Hydrodynamics, Novosibirsk, Russia
Full-text PDF (192 kB) Citations (5)
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DOI: https://doi.org/10.1134/S0371968513020027
Abstract: The concept of quasidifferential operator in a scale of Banach spaces is formulated. A theorem of existence and uniqueness of a solution to the Cauchy problem for the equation with a nonlinear quasidifferential operator is proved. As an example of application of the theorem, the correctness of the nonlinear nonlocal problem of plane-parallel unsteady potential motion of a liquid with free boundary is proved.
Received in June 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 281, Pages 3–11
DOI: https://doi.org/10.1134/S0081543813040020
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: L. V. Ovsyannikov, “Cauchy problem in a scale of Banach spaces”, Modern problems of mechanics, Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 281, MAIK Nauka/Interperiodica, Moscow, 2013, 7–15; Proc. Steklov Inst. Math., 281 (2013), 3–11
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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