Regularity of viscosity solutions of a degenerate parabolic equation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Regularity of viscosity solutions of a degenerate parabolic equation

Authors:	Yun-Guang Lu Liwen Qian

Institution:	Departamento de Matematicas y Estadistica, Universidad Nacional de Colombia, Bogota, Colombia ; Department of Computational Science, National University of Singapore, Singapore 117543

Abstract:	We study the Cauchy problem for the nonlinear degenerate parabolic equation of second order $\begin{displaymath}\left\{ \begin{array}{l} u_t=u\triangle u-\gamma\vert\nabla u... ...0)=u_{0}(x) \text{in} \hspace{0.3cm} R^{N}, \end{array}\right. \end{displaymath}$ and present regularity results for the viscosity solutions.

Keywords:	Degenerate parabolic equation viscosity solution Lipschitz continuity maximum principle

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