Eventual regularization of the slightlysupercritical fractional Burgers equation

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Eventual regularization of the slightly supercritical fractional Burgers equation

1.
Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, Minneapolis, MN 55455-0134
2.
Department of Mathematics, University of Toronto, 40 St. George St. Toronto, Ontario, M5S 2E4
3.
Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637

Received: September 30, 2009

Revised: January 31, 2010

Published: June 2010

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Abstract

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

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Mathematics Subject Classification: 35D10.

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