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math.AP2020★ 30 cited
The higher order fractional Calderón problem for linear local operators: uniqueness
Giovanni Covi, Keijo Mönkkönen, Jesse Railo +1
We study an inverse problem for the fractional Schrödinger equation (FSE) with a local perturbation by a linear partial differential operator (PDO) of order smaller than the order…
math.AP2020★ 44 cited
Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems
Giovanni Covi, Keijo Mönkkönen, Jesse Railo
We prove a unique continuation property for the fractional Laplacian when . In addition, we study Poincaré-type inequalities for t…