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Seventh Mississippi State - UAB Conference on Differential Equations & Computational Simulations
November 1-3, 2007
Doubletree Hotel
Birmingham, AL, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Pattern Formation in Cross Diffusion Systems
by
Dung Le
Department of Mathematics, University of Texas at San Antonio
Coauthors: Linh Nguyen and Toan Nguyen

The boundedness and Hölder regularity for strongly coupled elliptic systems are investigated. Fixed point theories are used to prove existence of nonconstant positive solution(s) for cross diffusion elliptic systems. Techniques for investigations of coexistence states will be presented.

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Date received: August 15, 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 # cauf-18.