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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 221, Pages 235–242 (Mi znsl4306)  
This article is cited in 4 scientific papers (total in 4 papers)

Some remarks on the mollification of piecewise-linear homeomorphisms

G. A. Seregin, T. N. Shilkin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (271 kB) Citations (4)
Abstract: We construct an example of a piecewise positive (a.e.) Jacobian such that the usual convolution does not preserve the sign of the Jacobian. Bibliography: 4 titles.
Received: 19.12.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 2, Pages 3428–3433
DOI: https://doi.org/10.1007/BF02355593
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: G. A. Seregin, T. N. Shilkin, “Some remarks on the mollification of piecewise-linear homeomorphisms”, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Zap. Nauchn. Sem. POMI, 221, POMI, St. Petersburg, 1995, 235–242; J. Math. Sci. (New York), 87:2 (1997), 3428–3433
Citation in format AMSBIB
\Bibitem{SerShi95}
\by G.~A.~Seregin, T.~N.~Shilkin
\paper Some remarks on the mollification of piecewise-linear homeomorphisms
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 221
\pages 235--242
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4306}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1359759}
\zmath{https://zbmath.org/?q=an:0927.49001|0892.49002}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 2
\pages 3428--3433
\crossref{https://doi.org/10.1007/BF02355593}
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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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