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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 1, Pages 42–49 (Mi vmj494)  
On a nonlocal problem for nonlinear parabolic equation

J. O. Takhirov, R. N. Turaev

Institute of Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
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Abstract: A boundary problem for nonlinear parabolic equation with nonlocal boundary conditions is considered. Some a priori estimates are derived to establish the global existence of the solution. Uniqueness and existence theorems are proved.
Key words: non-local problem, apriori estimations, extremum principle, Hölder's condition, nonlinear parabolic equation, Shauder's principle, existence and uniqueness of solution.
Received: 24.04.2013
Document Type: Article
UDC: 517.956.6
Language: Russian
Citation: J. O. Takhirov, R. N. Turaev, “On a nonlocal problem for nonlinear parabolic equation”, Vladikavkaz. Mat. Zh., 16:1 (2014), 42–49
Citation in format AMSBIB
\Bibitem{TakTur14}
\by J.~O.~Takhirov, R.~N.~Turaev
\paper On a~nonlocal problem for nonlinear parabolic equation
\jour Vladikavkaz. Mat. Zh.
\yr 2014
\vol 16
\issue 1
\pages 42--49
\mathnet{http://mi.mathnet.ru/vmj494}
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