Normalized Solutions to the Fractional Schrödinger Equation with Potential
Jiabin Zuo, Chungen Lıu, Calogero Vetro
Abstract
Abstract This paper is concerned with the existence of normalized solutions to a class of Schrödinger equations driven by a fractional operator with a parametric potential term. We obtain minimization of energy functional associated with that equations assuming basic conditions for the potential. Our work offers a partial extension of previous results to the non-local case.
Topics & Concepts
MathematicsOperator (biology)Term (time)Class (philosophy)Schrödinger equationExtension (predicate logic)Applied mathematicsWork (physics)Partial differential equationEnergy (signal processing)Fractional calculusMathematical analysisGeneMechanical engineeringRepressorChemistryBiochemistryProgramming languagePhysicsQuantum mechanicsEngineeringTranscription factorArtificial intelligenceStatisticsComputer scienceNonlinear Partial Differential EquationsAdvanced Mathematical Physics ProblemsNumerical methods in inverse problems