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May  2010, 27(2): 847-861. doi: 10.3934/dcds.2010.27.847

Eventual regularization of the slightly supercritical fractional Burgers equation

Chi Hin Chan 1, , Magdalena Czubak 2, and  Luis Silvestre 3,

1. 

Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, Minneapolis, MN 55455-0134, United States
2. 

Department of Mathematics, University of Toronto, 40 St. George St. Toronto, Ontario, M5S 2E4, Canada
3. 

Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637, United States

Received  October 2009 Revised  February 2010 Published  February 2010

We prove that a weak solution of a slightly supercritical fractional Burgers equation becomes Hölder continuous for large time.
Keywords: Holder, fractal, oscillation, supercritical, De Giorgi., fractional Burgers.
Mathematics Subject Classification: 35D1.
Citation: Chi Hin Chan, Magdalena Czubak, Luis Silvestre. Eventual regularization of the slightly supercritical fractional Burgers equation. Discrete and Continuous Dynamical Systems, 2010, 27 (2) : 847-861. doi: 10.3934/dcds.2010.27.847
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