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DOI: 10.23671/VNC.2014.1.7422

On a nonlocal problem for nonlinear parabolic equation

Takhirov J. O. , Turaev R. N.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 1.
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.
Keywords: non-local problem, apriori estimations, extremum principle, Holder's condition, nonlinear parabolic equation, Shauder's principle, existence and uniqueness of solution
Language: Russian Download the full text  
For citation: Takhirov J. O., Turaev R. N. On a nonlocal problem for nonlinear parabolic equation. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 1, pp.42-49. DOI 10.23671/VNC.2014.1.7422
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