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Existence and uniqueness of weak solutions for a system applied to image decomposition

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ABSTRACT In this paper, we prove the existence and uniqueness of weak solutions for a singular evolutionary system, which is deduced from a model for image decomposition combining staircase reduction… Click to show full abstract

ABSTRACT In this paper, we prove the existence and uniqueness of weak solutions for a singular evolutionary system, which is deduced from a model for image decomposition combining staircase reduction and texture extraction. The main method we used is p-Laplace regularization. The numerical experimental result shows the efficiency of this kind of model.

Keywords: system; existence uniqueness; uniqueness weak; weak solutions; image decomposition

Journal Title: Applicable Analysis
Year Published: 2018

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