Universal Journal of Mathematics and Mathematical Sciences
Volume 3, Issue 2, Pages 129 - 139
(April 2013)
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GLOBAL EXISTENCE AND NO GLOBAL EXISTENCE FOR A PARABOLIC SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS
Ze-Jian Cui, Liang Chen and Hong-Xia Chen
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Abstract:
In this paper, we deal with the global existence and blow-up of the solution to a parabolic system with nonlinear boundary conditions. By constructing the supersolution and subsolution, we get the sufficient conditions for the solution to exist globally or to blow-up in finite time. |
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