Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1265-1273.

• Articles • Previous Articles     Next Articles

Existence and Uniqueness of Weak Solutions for a Fourth Order Regularized YK Equation

  

  1. Department of Applied Mathematics, Nanjing University of Science &|Technology, Nanjing 210094
  • Received:2007-05-21 Revised:2008-08-16 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    教育部博士点专项基金(20030288002)和南京理工大学博士生创新基金资助

Abstract:

In this paper the authors propose the regularized YK equation based on the ill posed properties for the YK equation in image processing. They prove the existence and uniqueness of weak solution of the regularized equation in bounded domains. Furthermore, it is only assumed that the initial data belong to L2, which is more natural in image processing.

Key words: Existence, Uniqueness, Fourth order parabolic equations

CLC Number: 

  • 35K35
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