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Journal Article

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
Stable URL: http://www.jstor.org/stable/118927
Page Count: 6

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Topics: Boundary conditions, Mathematical problems, Heat equation, Maximum principle
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Remarks on Blow-Up Behavior for a Nonlinear Diffusion Equation with Neumann Boundary Conditions
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Abstract

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).

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