التفاصيل البيبلوغرافية
| العنوان: |
Calder\'on-Zygmund theory of nonlocal parabolic equations with discontinuous coefficients |
| المؤلفون: |
Byun, Sun-Sig, Kim, Kyeongbae, Kumar, Deepak |
| سنة النشر: |
2023 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Analysis of PDEs |
| الوصف: |
We prove Calder\'on-Zygmund type estimates of weak solutions to non-homogeneous nonlocal parabolic equations under a minimal regularity requirement on kernel coefficients. In particular, the right-hand side is presented by a sum of fractional Laplacian type data and a non-divergence type data. Interestingly, even though the kernel coefficients are discontinuous, we obtain a significant increment of fractional differentiability for the solutions, which is not observed in the corresponding local parabolic equations. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2307.01654 |
| رقم الانضمام: |
edsarx.2307.01654 |
| قاعدة البيانات: |
arXiv |