Precise bounds for finite time blow-up of solutions to very general one space-dimensional nonlinear Neumann problems
نویسندگان
چکیده
In this paper we analyze the asymptotic finite time blow-up of solutions to the heat equation with a nonlinear Neumann boundary flux in one space dimension. We perform a detailed examination of the nature of the blow-up, which can occur only at the boundary, and we provide tight upper and lower bounds for the blow-up rate for “arbitrary” nonlinear functions F , subject to very mild restrictions.
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