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math.AP2022
Functional and variational aspects of nonlocal operators associated with linear PDEs
Adolfo Arroyo-Rabasa
We introduce a general difference quotient representation for non-local operators associated with a first-order linear operator. We establish new local to non-local estimates and s…
math.AP2022
A Lebesgue-Lusin property for linear operators of first and second order
Adolfo Arroyo-Rabasa
We prove that for a homogeneous linear partial differential operator of order and an integrable map taking values in the essential range of that operator…