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

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

来源 :偏微分方程（英文版） | 被引量 : 0次 | 上传用户：huweiguangkaka

【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 classi

【作 者】

：

Kong Linghai Guo Boling 

【机 构】

：

Graduate School, China Academy of Engineering Physics,P.O.Box 2101, Beijing 100088, China“,”Center f

【出 处】

：

偏微分方程（英文版）

【发表日期】

：

2004年4期

【关键词】

：

ε- periodic degenerate parabolic regularization image denoising. 

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论文部分内容阅读

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.

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