Well-posedness of a nonlinear integro-differential problem and its rearranged formulation
Computer Vision and Pattern Recognition
2024-01-29 v2
Abstract
We study the existence and uniqueness of solutions of a nonlinear integro-differential problem which we reformulate introducing the notion of the decreasing rearrangement of the solution. A dimensional reduction of the problem is obtained and a detailed analysis of the properties of the solutions of the model is provided. Finally, a fast numerical method is devised and implemented to show the performance of the model when typical image processing tasks such as filtering and segmentation are performed.
Keywords
Cite
@article{arxiv.1506.02247,
title = {Well-posedness of a nonlinear integro-differential problem and its rearranged formulation},
author = {Gonzalo Galiano and Emanuele Schiavi and Julián Velasco},
journal= {arXiv preprint arXiv:1506.02247},
year = {2024}
}
Comments
Final version. To appear in Nolinear Analysis Real World Applications (2016)