In this talk we discuss partial data inverse boundary problems for magnetic Schrödinger operators on bounded domains in the Euclidean space as well as some Riemannian manifolds with boundary. In particular, we show that the knowledge of the set of the Cauchy data on a portion of the boundary of a domain in the Euclidean space of dimension $n\ge 3$ for the magnetic Schrödinger operator with a magnetic potential of class $W^{1,n}\cap L^\infty$, and an electric potential of class $L^n$, determines uniquely the magnetic field as well as the electric potential. Our result is an extension of global uniqueness results of Dos Santos Ferreira--Kenig--Sjöstrand--Uh

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# Partial data inverse problems for magnetic Schrödinger operators with potentials of low regularity

Salem Selim, UC Irvine

Tuesday, April 30, 2024 - 4:00pm to 5:00pm

SMI 102