GLOBAL EXISTENCE AND NO GLOBAL EXISTENCE FOR A PARABOLIC SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS
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.
nonlinear boundary conditions, global solutions, blow-up in finite time.