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Everywhere Regularity of Solutions to a Class of Strongly Coupled Degenerate Parabolic Systems |
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| Authors: | Dung Le Toan Trong Nguyen |
| Affiliation: | 1. Department of Applied Mathematics , University of Texas at San Antonio , San Antonio, Texas, USA dle@math.utsa.edu;3. Department of Applied Mathematics , University of Texas at San Antonio , San Antonio, Texas, USA |
| Abstract: | A class of strongly coupled degenerate parabolic system is considered. Sufficient conditions will be given to show that bounded weak solutions are Hölder continuous everywhere. The general theory will be applied to a generalized porous media type Shigesada-Kawasaki-Teramoto model in population dynamics. |
| Keywords: | Degenerate systems Everywhere Hölder regularity Strongly coupled parabolic systems |