The Calderón problem for the fractional magnetic operator
Li Li
Abstract
Abstract We introduce a fractional magnetic operator involving a magnetic potential and an electric potential. We formulate an inverse problem for the fractional magnetic operator. We determine the electric potential from the exterior partial measurements of the associated Dirichlet-to-Neumann map by using Runge approximation property.
Topics & Concepts
MathematicsOperator (biology)Property (philosophy)Inverse problemInverseDirichlet distributionMathematical analysisApplied mathematicsGeometryBoundary value problemChemistryBiochemistryRepressorGeneTranscription factorPhilosophyEpistemologyNumerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringNumerical methods in engineering