Rate estimates of gradient blowup for a heat equation with exponential nonlinearity Original Research Article

We consider a one-dimensional semilinear parabolic equation View the MathML sourceut=uxx+eux, for which the spatial derivative of solutions becomes unbounded in finite time while the solutions themselves remain bounded. We establish estimates of blowup rate upper and lower bounds. We prove that in this case the blowup rate does not match the one obtained by the rescaling method.