تقرير
$(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces
| العنوان: | $(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces |
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| المؤلفون: | Mazon, J. M., Solera, M., Toledo, J. |
| المصدر: | Advances in Calculus of Variations 15(3), 2022 |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 05C80, 35R02, 05C21, 45C99, 26A45 |
| الوصف: | In this paper we study the $(BV,L^p)$-decomposition, $p=1,2$, of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used in image processing. We obtain the Euler-Lagrange equations of the corresponding variational problems and their gradient flows. In the case $p=1$ we also study the associated geometric problem and the thresholding parameters. Comment: arXiv admin note: text overlap with arXiv:1905.01130 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1515/acv-2020-0011 |
| URL الوصول: | http://arxiv.org/abs/1907.10650 |
| رقم الأكسشن: | edsarx.1907.10650 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1515/acv-2020-0011 |
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