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Remarks on Blow-Up Behavior for a Nonlinear Diffusion Equation with Neumann Boundary Conditions
Keng Deng and Mingxi Xu
Proceedings of the American Mathematical Society
Vol. 127, No. 1 (Jan., 1999), pp. 167-172
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/118927
Page Count: 6
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We establish the blow-up rate for the solution of a nonlinear diffusion equation (um)t = uxx, 0 < x < 1, t > 0, subject to Neumann boundary conditions ux(0, t) = 0, ux (1, t) = uα(1, t).
Proceedings of the American Mathematical Society © 1999 American Mathematical Society