Seminar Analysis: Wolfgang Reichel (KIT Karlsruhe)

Ground states for the nonlinear Schrödinger-equation with interface

We are interested in ground states for the nonlinear Schrödinger-equation (NLS) with an interface between two purely periodic media. This means that the coefficients in the NLS model two different periodic media in each halfspace. The resulting problem no longer has a periodic structure. Using variational methods we give conditions on the coefficients such that ground states are created/prevented by the interface.

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