Global existence for a class of triangular parabolic systems on domains of arbitrary dimension
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- by Dung Le and Toan Trong Nguyen PDF
- Proc. Amer. Math. Soc. 133 (2005), 1985-1992 Request permission
Abstract:
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.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
- MR Author ID: 367842
- 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
- Received by editor(s): February 15, 2004
- Published electronically: 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 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 1985-1992
- MSC (2000): Primary 35K57; Secondary 35B65
- DOI: https://doi.org/10.1090/S0002-9939-05-07867-6
- MathSciNet review: 2137864