The Bourgain Spaces and Recovery of Magnetic and Electric Potentials of Schrödinger Operators

We consider the inverse problem for the magnetic Schrödinger operator with the assumption that the magnetic potential is in Cλ and the electric potential is of the form p1 + div p2 with p1, p2 ∈ Cλ. We use semiclassical pseudodifferential operators on semiclassical Sobolev spaces and Bourgain type s...

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Bibliographic Details
Main Author: Zhang, Yaowei
Format: Others
Published: UKnowledge 2016
Subjects:
Online Access:http://uknowledge.uky.edu/math_etds/41
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1042&context=math_etds