On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions |
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| Authors: | A L Gladkov A I Nikitin |
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| Institution: | 1.Belarusian State University,Minsk,Belarus;2.Masherov Vitebsk State University,Vitebsk,Belarus |
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| Abstract: | We establish conditions for the existence and nonexistence of global solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions. We show that these conditions are determined by the behavior of the problem coefficients as t→∞. |
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