Existence of Dynamics for a 1 − d NLS equation perturbed with a generalized point defect

@inproceedings{Adami2009ExistenceOD,
  title={Existence of Dynamics for a 1 − d NLS equation perturbed with a generalized point defect},
  author={R. Adami and D. Noja},
  year={2009}
}
In the present paper we study the well-posedness for the one-dimensional cubic NLS perturbed by a generic point interaction. Point interactions are described as the 4-parameter family of self-adjoint extensions of the symmetric 1D Laplacian defined on the regular functions vanishing at a point, and in the present context can be interpreted as localized defects interacting with the NLS field. A previously treated special case is given by an NLS equation with a δ defect which we generalize and… Expand
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