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

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:

• Existence and uniqueness
• system
• total variation
• image decomposition

AMS Subject Classifications:

• 35K65
• 35D30
• 35B40

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the NSF of Guandong [grant number 2016A030313048] and Excellent Young Teachers Program of Guandong.