تقرير
Holder regularity for nonlocal in time subdiffusion equations with general kernel
| العنوان: | Holder regularity for nonlocal in time subdiffusion equations with general kernel |
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| المؤلفون: | Kubica, Adam, Ryszewska, Katarzyna, Zacher, Rico |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35R09, 45K05, 35B65 |
| الوصف: | We study the regularity of weak solutions to nonlocal in time subdiffusion equations for a wide class of weakly singular kernels appearing in the generalised fractional derivative operator. We prove a weak Harnack inequality for nonnegative weak supersolutions and Holder continuity of weak solutions to such problems. Our results substantially extend the results from our previous work [12] by leaving the framework of distributed order fractional time derivatives and considering a general PC kernel and by also allowing for an inhomogeneity in the PDE from a Lebesgue space of mixed type. Comment: 52 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2409.04841 |
| رقم الأكسشن: | edsarx.2409.04841 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |