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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 243, Pages 324–337 (Mi znsl507)  
This article is cited in 4 scientific papers (total in 4 papers)

On the existence of the harmonic variational flow subject to the two-sided conditions

N. Kikuchi, J.-i. Haga

Department of Mathematics, Faculty of Science and Technology, Keio University
Full-text PDF (188 kB) Citations (4)
Abstract: We shall devote ourselves to a study of constructing the weak solutions to parabolic systems of the variational flow type associated with the quadratic functional with the initial and boundary data from a suitable Sobolev space, subject to the two-sided conditions. In order to do this, we shall present an approach made by extending Rothe's method which is useful for solving the Cauchy problem and the initial- boundary-value problems for many sorts of equations.
Received: 10.04.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 1, Pages 1007–1015
DOI: https://doi.org/10.1007/BF02673604
Bibliographic databases:
UDC: 517.9
Language: English
Citation: N. Kikuchi, J.-i. Haga, “On the existence of the harmonic variational flow subject to the two-sided conditions”, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Zap. Nauchn. Sem. POMI, 243, POMI, St. Petersburg, 1997, 324–337; J. Math. Sci. (New York), 99:1 (2000), 1007–1015
Citation in format AMSBIB
\Bibitem{KikHag97}
\by N.~Kikuchi, J.-i.~Haga
\paper On the existence of the harmonic variational flow subject to the two-sided conditions
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 243
\pages 324--337
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl507}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1629761}
\zmath{https://zbmath.org/?q=an:0911.35058}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 1
\pages 1007--1015
\crossref{https://doi.org/10.1007/BF02673604}
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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
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