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Global existence for a class of triangular parabolic systems on domains of arbitrary dimension |
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| Authors: | Dung Le Toan Trong Nguyen |
| Affiliation: | Department of Applied Mathematics, University of Texas at San Antonio, 6900 North Loop 1604 West, San Antonio, Texas 78249 ; Department of Applied Mathematics, University of Texas at San Antonio, 6900 North Loop 1604 West, San Antonio, Texas 78249 |
| 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. |
| Keywords: | Cross diffusion systems, boundedness, H" older regularity |
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