| <Reference List> | |
| Type: | Preprint |
| National /International: | International |
| Title: | Fractional p-caloric functions are Lipschitz |
| Publication Date: | 2026-03-12 |
| Authors: |
- David Jesus
- Aelson Sobral - José Miguel Urbano |
| Abstract: | We study the parabolic fractional \( p \)-Laplace equation \( \partial_t u+(-\Delta_p)^su = 0 \) in the degenerate range \( 2 \leq p < 2/(1-s) \). We show that weak solutions are Lipschitz continuous in space and, if \( p > 1/(1-s) \), also in time. We also prove a comparison principle for both weak and viscosity solutions, and establish the equivalence between the two notions of solution. |
| Institution: | arXiv:2603.12065 |
| Online version: | https://arxiv.org/abs/2603.12065 |
| Download: | Not available |
