Harsh Prasad

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20212026

most citedLocal Hölder regularity for nonlocal parabolic

p

-Laplace equations

2 citations · 4 across the 12 of their papers we have counts for

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math.AP2023★ 1 cited

Lipschitz potential estimates for diffusion with jumps

Nirjan Biswas, Harsh Prasad

For $p \in (1, \infty)$ and $s \in (0, 1)$ , we consider the following mixed local-nonlocal equation $- Δ_{p} u + (- Δ_{p})^{s} u = f in Ω,$ where $Ω \subset R^{d}$ is…

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{…

math.AP2023

On The Weak Harnack Estimate For Nonlocal Equations

Harsh Prasad

We prove a weak Harnack estimate for a class of doubly nonlinear nonlocal equations modelled on the nonlocal Trudinger equation \begin{align*} \partial_t(|u|^{p-2}u) + (-Δ_p)^s u =…