Eventual regularization of the slightly supercritical fractional Burgers equation

Pages: 847 - 861, Volume 27, Issue 2, June 2010

doi:10.3934/dcds.2010.27.847       Abstract        Full Text (217.3K)       Related Articles

Chi Hin Chan - Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, Minneapolis, MN 55455-0134, United States (email)
Magdalena Czubak - Department of Mathematics, University of Toronto, 40 St. George St. Toronto, Ontario, M5S 2E4, Canada (email)
Luis Silvestre - Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637, United States (email)

Abstract: We prove that a weak solution of a slightly supercritical fractional Burgers equation becomes Hölder continuous for large time.

Keywords:  fractal, fractional Burgers, supercritical, Holder, oscillation, De Giorgi.
Mathematics Subject Classification:  35D10.

Received: October 2009;      Revised: February 2010;      Published: February 2010.