Partial regularity of solutions to a class of strongly coupled degenerate parabolic systems

Dung Le

doi:10.3934/proc.2005.2005.576

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2005, Volume 2005: 576-586. Doi: 10.3934/proc.2005.2005.576 open access

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Partial regularity of solutions to a class of strongly coupled degenerate parabolic systems

Dung Le^1,

1.
Department of Mathematics, University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249

Received: August 31, 2004

Revised: January 31, 2005

Published: August 2005

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Abstract

Using the method of heat approximation, we will establish partial regularity results for bounded weak solutions to certain strongly coupled degenerate parabolic systems.

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Mathematics Subject Classification: Primary: 35K65; Secondary: 35B65.

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