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Contemporary Mathematics. Fundamental Directions, 2007, Volume 21, Pages 62–76 (Mi cmfd77)  
On parabolic problems with non-Lipschitz nonlinearity

O. È. Zubelevich

Peoples Friendship University of Russia
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Abstract: We consider parabolic problems with non-Lipschitz nonlinearities in different scales of Banach spaces and prove local-in-time existence theorems. A new class of parabolic equations that have analytic solutions is obtained.
English version:
Journal of Mathematical Sciences, 2008, Volume 153, Issue 5, Pages 710–725
DOI: https://doi.org/10.1007/s10958-008-9143-y
Bibliographic databases:
UDC: 517.956.45
Language: Russian
Citation: O. È. Zubelevich, “On parabolic problems with non-Lipschitz nonlinearity”, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), CMFD, 21, PFUR, M., 2007, 62–76; Journal of Mathematical Sciences, 153:5 (2008), 710–725
Citation in format AMSBIB
\Bibitem{Zub07}
\by O.~\`E.~Zubelevich
\paper On parabolic problems with non-Lipschitz nonlinearity
\inbook Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A.~L.~Skubachevskii (Peoples' Friendship University of Russia)
\serial CMFD
\yr 2007
\vol 21
\pages 62--76
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd77}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336491}
\zmath{https://zbmath.org/?q=an:1171.35420}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 153
\issue 5
\pages 710--725
\crossref{https://doi.org/10.1007/s10958-008-9143-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54249169013}
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