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Local Hölder regularity for nonlocal parabolic -Laplace equations
Karthik Adimurthi, Harsh Prasad, Vivek Tewary
We prove local Hölder regularity for a nonlocal parabolic equations of the form \begin{align*} \partial_t u + \text{P.V.}\int_{\mathbb{R}^N} \frac{|u(x,t)-u(y,t)|^{p-2}(u(x,t)-u(y,…
Hölder regularity for fractional -Laplace equations
Karthik Adimurthi, Harsh Prasad, Vivek Tewary
We give an alternative proof for Hölder regularity for weak solutions of nonlocal elliptic quasilinear equations modelled on the fractional p-Laplacian where we replace the discret…
Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements
Suchandan Ghosh, Dharmendra Kumar, Harsh Prasad +1
We prove existence of variational solutions for a class of doubly nonlinear nonlocal evolution equations whose prototype is the double phase equation \begin{align*} \partial_t u^m…