| Abstract: |
| We establish novel smoothing estimates and enhanced temporal regularity for a class of nonlinear nonlocal operators, characterized as order zero $p$-Laplacians. A key finding of this work is that the linear evolution ($p=2$) fails to satisfy the smoothing estimates that we prove to exist for the nonlinear regime. Furthermore, we demonstrate that these evolutions preserve local spatial regularity up to order $p$. This is a joint work with M. Bonforte (UAM, Spain). |
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