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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 295, Pages 180–203 (Mi znsl1261)  
This article is cited in 3 scientific papers (total in 3 papers)

Solvability of Verigin problem in Sobolev spaces

E. V. Frolova

Saint-Petersburg State Electrotechnical University
Full-text PDF (288 kB) Citations (3)
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Abstract: In the present paper, $L_p$ estimates are obtained for the solution of a model problem arising in the linearization of the Verigin problem. The proof is based on the application of theorems on Fourier multipliers. The result obtained may be used for the proof of the solvability of the verigin problem in anisotropic Sobolev spaces.
Received: 10.05.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 127, Issue 2, Pages 1923–1935
DOI: https://doi.org/10.1007/s10958-005-0151-x
Bibliographic databases:
UDC: 517
Language: Russian
Citation: E. V. Frolova, “Solvability of Verigin problem in Sobolev spaces”, Boundary-value problems of mathematical physics and related problems of function theory. Part 33, Zap. Nauchn. Sem. POMI, 295, POMI, St. Petersburg, 2003, 180–203; J. Math. Sci. (N. Y.), 127:2 (2005), 1923–1935
Citation in format AMSBIB
\Bibitem{Fro03}
\by E.~V.~Frolova
\paper Solvability of Verigin problem in Sobolev spaces
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 295
\pages 180--203
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1261}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1983117}
\zmath{https://zbmath.org/?q=an:1162.35461}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 127
\issue 2
\pages 1923--1935
\crossref{https://doi.org/10.1007/s10958-005-0151-x}
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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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