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math.AP2022
Carleman estimates for sub-Laplacians on Carnot groups
Vedansh Arya, Dharmendra Kumar
In this note, we establish a new Carleman estimate with singular weights for the sub-Laplacian on a Carnot group for functions satisfying the discrepancy assumption in…
math.AP2022
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…