Well-posedness of a nonlinear integro-differential problem and its rearranged formulation
| Autor: | Emanuele Schiavi, Gonzalo Galiano, Julián Velasco |
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| Rok vydání: | 2016 |
| Předmět: |
FOS: Computer and information sciences
Computer Vision and Pattern Recognition (cs.CV) Applied Mathematics Noise reduction Numerical analysis Computer Science - Computer Vision and Pattern Recognition General Engineering Image processing 010103 numerical & computational mathematics 02 engineering and technology General Medicine 01 natural sciences Computational Mathematics Nonlinear system Dimensional reduction Integro-differential equation 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Uniqueness 0101 mathematics General Economics Econometrics and Finance Analysis Differential (mathematics) Mathematics |
| Zdroj: | Nonlinear Analysis: Real World Applications. 32:74-90 |
| ISSN: | 1468-1218 |
| DOI: | 10.1016/j.nonrwa.2016.03.013 |
| Popis: | 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. Final version. To appear in Nolinear Analysis Real World Applications (2016) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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