Isidro H. Munive

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20102022

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math.AP2022

Borderline gradient continuity for the normalized $p$ -parabolic operator

Murat Akman, Agnid Banerjee, Isidro H. Munive

In this paper, we prove gradient continuity estimates for viscosity solutions to $Δ_{p}^{N} u - u_{t} = f$ in terms of the scaling critical $L (n + 2, 1)$ norm of $f$ , where $Δ_{p}^{N}$ is th…

math.AP2022

Higher order Boundary Schauder Estimates in Carnot Groups

Agnid Banerjee, Nicola Garofalo, Isidro H. Munive

In his seminal 1981 study D. Jerison showed the remarkable negative phenomenon that there exist, in general, no Schauder estimates near the characteristic boundary in the Heisenber…

Borderline gradient continuity for the normalized p-parabolic operator

Higher order Boundary Schauder Estimates in Carnot Groups

Borderline gradient continuity for the normalized $p$ -parabolic operator