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Sbornik: Mathematics, 1996, Volume 187, Issue 6, Pages 803–822
DOI: https://doi.org/10.1070/SM1996v187n06ABEH000134 (Mi sm134) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Invariant measures generated by higher conservation laws for the Korteweg–de Vries equations

P. E. Zhidkov

Joint Institute for Nuclear Research
English version PDF (826 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1996v187n06ABEH000134
Abstract: The well-posedness of the Cauchy problem that is periodic with respect to the spatial variable is proved for the Korteweg–de Vries equation. For dynamical systems generated by this equation on appropriate phase spaces the invariance of the Borel measures associated with the higher conservation laws is proved.
Received: 04.07.1995
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 6, Pages 21–40
DOI: https://doi.org/10.4213/sm134
Bibliographic databases:
UDC: 517.987.4
MSC: 35Q20, 58F11, 58F39
Language: English
Original paper language: Russian
Citation: P. E. Zhidkov, “Invariant measures generated by higher conservation laws for the Korteweg–de Vries equations”, Mat. Sb., 187:6 (1996), 21–40; Sb. Math., 187:6 (1996), 803–822
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:220
    English version PDF:14
    References:57
    First page:1
     
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