Determining the magnetic potential in the fractional magnetic Calderón problem
Li Li
Abstract
We determine both the magnetic potential and the electric potential from the exterior partial measurements of the Dirichlet-to-Neumann map in the fractional linear magnetic Calderón problem by using an integral identity. We also determine both the magnetic potential and the nonlinearity in the fractional semi-linear magnetic Calderón problem by using a first order linearization.
Topics & Concepts
Magnetic potentialMathematicsElectric potentialMathematical analysisNonlinear systemPotential theoryMagnetic fieldOrder (exchange)Magnetic energyFractional calculusPhysicsMagnetic dipoleMagnetic reactanceCondensed matter physicsMagnetizationIntegral equationCurrent (fluid)Numerical methods in inverse problemsFractional Differential Equations SolutionsDifferential Equations and Boundary Problems