Fourth-order nonlinear degenerate problem for image decomposition

Ahmed Nokrane (), Nour Eddine Alaa () and Fatima Aqel ()
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Ahmed Nokrane: Cadi Ayyad University
Nour Eddine Alaa: Cadi Ayyad University
Fatima Aqel: University of Settat

Partial Differential Equations and Applications, 2023, vol. 4, issue 4, 1-25

Abstract: Abstract The aim of this work is to study a new coupled fourth-order reaction-diffusion system, applied to image decomposition into cartoons and textures. The existence and uniqueness of an entropy solution to the system with initial data BH are established using Galerkin’s method. Then, numerical experiments and comparisons with other models have been performed to show the efficiency of the proposed model in image decomposition.

Keywords: Fourth-order PDE; Entropy solution; Galerkin’s method; BH space; Image decomposition; 35R35; 49J40; 60G40 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s42985-023-00251-1

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