Work

Determining a magnetic Schrödinger operator with a continuous magnetic\n potential from boundary measurements

Year: 2017

Type: article

Abstract: We show that the knowledge of the set of the Cauchy data on the boundary of a\n$C^1$ bounded open set in $\\R^n$, $n\\ge 3$, for the Schr\\"odinger operator with\ncontinuous magnetic and bounded electric potentials determines the magnetic\nfield and electric potential inside the set uniquely. The proof is based on a\nCarleman estimate for the magnetic Schr\\"odinger operator with a gain of two\nderivatives.

Source: eScholarship (California Digital Library)

Authors: Krupchyk, K, Uhlmann, G

Institutions: University of California, Irvine, University of Washington

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

OpenAlex ID: W7018523569

FWCI:

Cites: 1

Cited by:

Related to: 9