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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Remarks on blow-up behavior
for a nonlinear diffusion equation
with Neumann boundary conditions


Authors: Keng Deng and Mingxi Xu
Journal: Proc. Amer. Math. Soc. 127 (1999), 167-172
MSC (1991): Primary 35B40, 35K20, 35K55
MathSciNet review: 1485467
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Abstract | References | Similar Articles | Additional Information

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 $u_x(0,t)=0,\ u_x(1,t)=u^\alpha(1,t)$.


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Additional Information

Keng Deng
Affiliation: Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana 70504
Email: kxd5858@usl.edu

Mingxi Xu
Affiliation: Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana 70504
Email: mxx3473@usl.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04748-6
PII: S 0002-9939(99)04748-6
Received by editor(s): May 6, 1997
Communicated by: Jeffrey B. Rauch
Article copyright: © Copyright 1999 American Mathematical Society