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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
MathSciNet review:
2137864
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Abstract:
A class of triangular parabolic systems given on bounded domains of  with arbitrary  is investigated. Sufficient conditions on the structure of the systems are found to assure that weak solutions exist globally.
References:
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Additional Information:
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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