Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 120, pp. 1-11.

Title: Solutions of fourth-order partial differential equations in  a
noise removal model

Authors: Qiang Liu   (Jilin Univ., Changchun, China)
         Zhengan Yao (Sun Yat-Sen Univ., Guangzhou, China)
	 Yuanyuan Ke (Jilin Univ., Changchun, China)

Abstract: 
 In this paper, we discuss the existence and uniqueness of weak
 solutions for a fourth-order partial differential equation stemmed
 from image processing for noise removal. We also present some
 numerical tests for high order filters.
 
Submitted April 10, 2007. Published September 14, 2007.
Math Subject Classifications: 35K65, 35M10.
Key Words: Existence; uniqueness; fourth-order; noise removal.