Remarks on blow-up behavior for a nonlinear diffusion equation with Neumann boundary conditions
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- by Keng Deng and Mingxi Xu PDF
- Proc. Amer. Math. Soc. 127 (1999), 167-172 Request permission
Abstract:
We establish the blow-up rate for the solution of a nonlinear diffusion equation $(u^m)_t=u_{xx}, 0<x<1, t>0$, subject to Neumann boundary conditions $u_x(0,t)=0, u_x(1,t)=u^\alpha (1,t)$.References
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Additional Information
- Keng Deng
- Affiliation: Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana 70504
- MR Author ID: 225222
- Email: kxd5858@usl.edu
- Mingxi Xu
- Affiliation: Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana 70504
- Email: mxx3473@usl.edu
- Received by editor(s): May 6, 1997
- Communicated by: Jeffrey B. Rauch
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 167-172
- MSC (1991): Primary 35B40, 35K20, 35K55
- DOI: https://doi.org/10.1090/S0002-9939-99-04748-6
- MathSciNet review: 1485467