On the inverse spectral stability for the transmission eigenvalue problem with finite data
Xiao‐Chuan Xu, Chuan‐Fu Yang
Abstract
Abstract In this work, we study the inverse spectral stability for the transmission eigenvalue problem from finitely many data with errors. It is shown that when a ⩽ 1, all potentials, whose transmission eigenvalues are ɛ -close in some disc centered at the origin, are also close.
Topics & Concepts
Eigenvalues and eigenvectorsMathematicsInverseStability (learning theory)Transmission (telecommunications)Inverse problemMathematical analysisWork (physics)Applied mathematicsGeometryPhysicsComputer scienceTelecommunicationsThermodynamicsMachine learningQuantum mechanicsNumerical methods in inverse problemsSpectral Theory in Mathematical PhysicsAdvanced Mathematical Modeling in Engineering