Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species |
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| Authors: | E.N. Dancer Zhitao Zhang |
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| Affiliation: | a School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
b Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | We prove the uniform Hölder continuity of solutions for two classes of singularly perturbed parabolic systems. These systems arise in Bose-Einstein condensates and in competing models in population dynamics. The proof relies upon the blow up technique and the monotonicity formulas by Almgren and Alt, Caffarelli, and Friedman. |
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| Keywords: | 35B25 35B53 35B65 |
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