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Matematicheskie Zametki, 2009, Volume 85, Issue 1, Pages 98–109
DOI: https://doi.org/10.4213/mzm4307 (Mi mzm4307) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Weak Solutions of a Mixed Problem in a Half-Strip for a Generalized Kawahara Equation

K. Sangare, A. V. Faminskii

Peoples Friendship University of Russia
Full-text PDF (519 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm4307
Abstract: We consider a mixed problem in a half-strip for a generalized Kawahara equation describing long nonlinear waves in inhomogeneous media with weak dispersion. We study the existence and uniqueness of generalized solutions in Sobolev weight spaces.
Keywords: Kawahara equation, long nonlinear wave, inhomogeneous medium, weak dispersion, Korteweg–de Vries (KdV) equation, Parseval's equality.
Received: 02.11.2007
English version:
Mathematical Notes, 2009, Volume 85, Issue 1, Pages 90–100
DOI: https://doi.org/10.1134/S000143460901009X
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: K. Sangare, A. V. Faminskii, “Weak Solutions of a Mixed Problem in a Half-Strip for a Generalized Kawahara Equation”, Mat. Zametki, 85:1 (2009), 98–109; Math. Notes, 85:1 (2009), 90–100
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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