Stability of the Inverse Transmission Eigenvalue Problem for the Schr?dinger Operator on the Half Line
We study the stability of the inverse transmission eigenvalue problem for the Schrödinger operator with the Neumann boundary condition.When∫01q(t)dt=0 and q(1)≠0,there are infinitely many real eigenvalues.In case,by using the theory of transformation operators and the properties of Riesz basis,we give the estimates for the difference of two potentials in the sense of the weak form and W2-norm,according to the difference of two corresponding spectral data,which imply the stability of the inverse spectral problem.
inverse spectral problemsSchrödinger operatortransmission eigenvalue problemstabilityfinite data
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