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Global existence for a class of triangular parabolic systems on domains of arbitrary dimension

A class of triangular parabolic systems given on bounded domains of \mathbb{R}^n with arbitrary n is investigated. Sufficient conditions on the structure of the systems are found to assure that weak solutions exist globally.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2005-07, Vol.133 (7), p.1985-1992
Main Authors: LE, Dung, TOAN TRONG NGUYEN
Format: Article
Language:English
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Summary:A class of triangular parabolic systems given on bounded domains of \mathbb{R}^n with arbitrary n is investigated. Sufficient conditions on the structure of the systems are found to assure that weak solutions exist globally.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-05-07867-6