Gradient regularity for mixed local-nonlocal quasilinear parabolic equations

Karthik Adimurthi, Harsh Prasad, Vivek Tewary

In this paper, we prove local Hölder continuity for the spatial gradient of weak solutions to $$u_t - \text{div} (|\nabla u|^{p-2}\nabla u) + \text{P.V.} \int_{\mathbb{R}^n} \frac{…