Proceedings of the American Mathematical Society

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

Author(s): Dung Le; Toan Trong Nguyen
Journal: Proc. Amer. Math. Soc. 133 (2005), 1985-1992.
MSC (2000): Primary 35K57; Secondary 35B65
Posted: February 24, 2005
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Abstract: A class of triangular parabolic systems given on bounded domains of $\mathbb{R}^n$ with arbitrary

is investigated. Sufficient conditions on the structure of the systems are found to assure that weak solutions exist globally.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35K57, 35B65

Dung Le
Affiliation: Department of Applied Mathematics, University of Texas at San Antonio, 6900 North Loop 1604 West, San Antonio, Texas 78249
Email: dle@math.utsa.edu

Toan Trong Nguyen
Affiliation: Department of Applied Mathematics, University of Texas at San Antonio, 6900 North Loop 1604 West, San Antonio, Texas 78249
Email: toan.nguyen@utsa.edu

DOI: 10.1090/S0002-9939-05-07867-6
PII: S 0002-9939(05)07867-6
Keywords: Cross diffusion systems, boundedness, H\"older regularity
Received by editor(s): February 15, 2004
Posted: February 24, 2005
Additional Notes: The first author was supported in part by NSF Grant \#DMS0305219, Applied Mathematics Program.
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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