تقرير
Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal
| العنوان: | Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal |
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| المؤلفون: | Li, Yuhang, Guo, Zhichang, Shao, Jingfeng, Li, Yao, Wu, Boying |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | In this paper, we study a class of fractional $1$-Laplacian diffusion equations with variable orders, proposed as a model for multiplicative noise removal. The existence and uniqueness of the weak solution are proven. To overcome the difficulties in the approximation process,we place particular emphasis on studying the density propertiesof the variable-order fractional Sobolev spaces. Numerical experiments demonstrate that our model exhibits favorable performance across the entire image. Comment: 28 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.11680 |
| رقم الأكسشن: | edsarx.2311.11680 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |