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- W3166147904 abstract "We consider a perturbation problem for embedded eigenvalues of a self-adjoint differential operator in $L^2(mathbb R;mathbb R^n)$. In particular, we study the set of all small perturbations in an appropriate Banach space for which the embedded eigenvalue remains embedded in the continuous spectrum. We show that this set of small perturbations forms a smooth manifold and we specify its co-dimension. Our methods involve the use of exponential dichotomies, their roughness property and Lyapunov-Schmidt reduction." @default.
- W3166147904 created "2021-06-22" @default.
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- W3166147904 date "2023-01-01" @default.
- W3166147904 modified "2023-09-29" @default.
- W3166147904 title "Perturbations of embedded eigenvalues for self-adjoint ODE systems" @default.
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- W3166147904 doi "https://doi.org/10.4310/arkiv.2023.v61.n1.a9" @default.
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