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Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition |
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| Authors: | Alexander Gladkov Tatiana Kavitova |
| Institution: | 1. Department of Mechanics and Mathematics, Belarusian State University, 4 Nezavisimosti Avenue, Minsk, 220030 Belarus;2. Department of Mathematics and Information Technologies, Vitebsk State University, Moskovskii pr. 33, Vitebsk, 210038 Belarus |
| Abstract: | We prove the global existence and blow-up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained results depend on the behavior of variable coefficients for large values of time. |
| Keywords: | blow-up nonlinear parabolic equation nonlocal boundary condition |