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Some Properties of Solutions of a Fourth-Order Parabolic Equation for Image Processing

  • Changchun Liu
  • Manli Jin
Article
  • 92 Downloads

Abstract

In this paper, for the IBVP of a fourth-order nonlinear parabolic equation, which is related to image analysis, we studied the existence and uniqueness of weak solutions. Moreover, we also considered the asymptotic behavior and the regularity of solutions of such problem.

Keywords

Fourth-order parabolic equation Existence Asymptotic behavior Regularity 

Mathematics Subject Classification

35D05 35B40 35G30 35K55 

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2018

Authors and Affiliations

  1. 1.Department of MathematicsJilin UniversityChangchunChina

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