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Matematicheskie Zametki, 1974, Volume 15, Issue 4, Pages 581–586 (Mi mzm7381)  
Nonlocal solvability of the Cauchy problem for second-order nonlinear parabolic equations

Yu. P. Gor'kov

Institute of Mathematics and Mechanics, Academy of Sciences of the USSR
Full-text PDF (426 kB)
Abstract: We prove the existence of smooth solutions of the Cauchy problem for some second-order nonlinear parabolic equations subject to natural smoothness conditions on the right side of the equation and on the initial function.
Received: 10.04.1972
English version:
Mathematical Notes, 1974, Volume 15, Issue 4, Pages 342–345
DOI: https://doi.org/10.1007/BF01095125
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: Yu. P. Gor'kov, “Nonlocal solvability of the Cauchy problem for second-order nonlinear parabolic equations”, Mat. Zametki, 15:4 (1974), 581–586; Math. Notes, 15:4 (1974), 342–345
Citation in format AMSBIB
\Bibitem{Gor74}
\by Yu.~P.~Gor'kov
\paper Nonlocal solvability of the Cauchy problem for second-order nonlinear parabolic equations
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 4
\pages 581--586
\mathnet{http://mi.mathnet.ru/mzm7381}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=352700}
\zmath{https://zbmath.org/?q=an:0295.35043}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 4
\pages 342--345
\crossref{https://doi.org/10.1007/BF01095125}
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