Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (4): 753-760.

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Existence and Uniqueness of Weak Solutions fora Class of ForthOrder Low Curvature Equations

JIN Manli, GUO Li   

  1. School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China
  • Received:2019-10-30 Online:2020-07-26 Published:2020-07-16
  • Contact: GUO Li E-mail:guomingli95@126.com

Abstract: We considered a class of fourthorder low curvature equation related to image processing, and proved the existence and uniqueness of the weak solution of the equation by using the method of half difference.

Key words: low curvature equation, weak solution, existence, uniqueness

CLC Number: 

  • O175.4