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math.AP2023
Borderline gradient regularity estimates for quasilinear parabolic systems with data independent of time
Karthik Adimurthi, Wontae Kim
In this paper, we study some regularity issues concerning the gradient of weak solutions of , where is mo…
math.AP2023★ 1 cited
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{…