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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 288, Pages 34–78 (Mi znsl1582)  
This article is cited in 3 scientific papers (total in 3 papers)

On global solvability of the Caushy–Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1<q<2$

A. A. Arkhipova

Saint-Petersburg State University
Full-text PDF (414 kB) Citations (3)
Abstract: The Caushy–Dirichlet problem for a class of nondiagonal $q$-nonlinear parabolic systems is studied, $1<q<2$. In the case of two spatial variables, we constract a solution which is global in time and smooth almost everywhere. Hausdorff's dimension of the singular set is estimated.
Received: 10.04.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 123, Issue 6, Pages 4539–4564
DOI: https://doi.org/10.1023/B:JOTH.0000041473.41796.59
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. A. Arkhipova, “On global solvability of the Caushy–Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1<q<2$”, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Zap. Nauchn. Sem. POMI, 288, POMI, St. Petersburg, 2002, 34–78; J. Math. Sci. (N. Y.), 123:6 (2004), 4539–4564
Citation in format AMSBIB
\Bibitem{Ark02}
\by A.~A.~Arkhipova
\paper On global solvability of the Caushy--Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1<q<2$
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 288
\pages 34--78
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1582}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1923544}
\zmath{https://zbmath.org/?q=an:1074.35046}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 123
\issue 6
\pages 4539--4564
\crossref{https://doi.org/10.1023/B:JOTH.0000041473.41796.59}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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