Interface Problems for Dispersive Equations

@article{Sheilsand2015InterfacePF,
  title={Interface Problems for Dispersive Equations},
  author={Natalie E. Sheils and and Bernard Deconinck},
  journal={Studies in Applied Mathematics},
  year={2015},
  volume={134}
}
The interface problem for the linear Schrödinger equations in one‐dimensional piecewise homogeneous domains is examined by providing an explicit solution in each domain. The location of the interfaces is known and the continuity of the wave function and a jump in their derivative at the interface are the only conditions imposed. The problem of two semi‐infinite domains and that of two finite‐sized domains are examined in detail. The problem and the method considered here extend that of an… 
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