THE CLASSICAL SOLUTIONS TO A CAUCHY PROBLEM OF PARABOLIC TYPE COUPLED WITH OPERATORS

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: ε- periodic degenerate parabolic regularization image denoising.
• 年，卷（期）: 2004,（4）
• 页码范围: 303-315
• 页数: 13页
• 分类号: O175.29.
• 语种: 英文

摘要

We consider the equation ut=Tr[B(x,t,Du,φu)D2u]+F(x,t,u,Du,φu,ψu) whereφ and ψ are vector-valued mappings. We obtain the existence and uniqueness of classical solution to the equation for a ε- periodic initial data. The problem is naturally arisen from image denoising.