Electron. J. Diff. Eqns., Vol. 2007(2007), No. 15, pp. 1-6.

Viscosity solutions to degenerate diffusion problems

Zu-Chi Chen, Yan-Yan Zhao

Abstract:
This paper concerns the weak solutions to a Cauchy problem in RN for a degenerate nonlinear parabolic equation. We obtain the Holder regularity of the weak solutions to this problem.

Submitted November 4, 2006. Published January 23, 2007.
Math Subject Classifications: 35K15, 35K55, 35K65.
Key Words: Viscosity solution; degenerate; Holder regularity.

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Zu-Chi Chen
Department of mathematics
University of Science and Technology of China
Hefei 230026, China
email: chenzc@ustc.edu.cn
Yan-Yan Zhao
Department of mathematics
University of Science and Technology of China
Hefei 230026, China
email: yyzhao@mail.ustc.edu.cn

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