For a one-dimensional Schrödinger operator, the closest potential to a given one that has m prescribed eigenvalues is shown to exist and to satisfy a coupled nonlinear ODE system.
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On an optimal potential of Schr\"odinger operator with prescribed $m$ eigenvalue
For a one-dimensional Schrödinger operator, the closest potential to a given one that has m prescribed eigenvalues is shown to exist and to satisfy a coupled nonlinear ODE system.