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Southeastern-Atlantic Regional Conference on Differential Equations
October 19-20, 2007
Murray State University
Murray, Kentucky, USA

Organizers
K. Renee Fister, Maeve McCarthy

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Lower Bounds for Blow-up Time in Parabolic Problems
by
P. W. Schaefer
University of Tennessee
Coauthors: L.E. Payne

We consider an initial-boundary value problem for a class of nonlinear parabolic problems in a bounded smooth domain in Euclidean 3-space. We use a first order differential inequality technique on a suitably defined auxiliary function to determine a lower bound on blow-up time if blow-up occurs.

Date received: September 18, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavc-25.