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Existence and Uniqueness of Weak Solution for a Class of Elliptic Reaction-Diffusion Systems

Existence and Uniqueness of Weak Solution for a Class of Elliptic Reaction-Diffusion Systems Abstract We present a simple proof of the existence and uniqueness of a weak solution for a class of quasilinear elliptic reaction-diffusion systems. The proof is based on an iterative process and on some a priori estimates. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Existence and Uniqueness of Weak Solution for a Class of Elliptic Reaction-Diffusion Systems

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Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2008.619
Publisher site
See Article on Publisher Site

Abstract

Abstract We present a simple proof of the existence and uniqueness of a weak solution for a class of quasilinear elliptic reaction-diffusion systems. The proof is based on an iterative process and on some a priori estimates.

Journal

Georgian Mathematical Journalde Gruyter

Published: Dec 1, 2008

Keywords: Reaction-diffusion; nonlinear elliptic system; generalized solution; a priori estimate

There are no references for this article.