Ground states of the nonlinear Schrödinger equation on a fractured strip converge, as the strip narrows, to the ground state of the 1-D equation with a delta potential.
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Ground states on a fractured strip and one dimensional reduction
Ground states of the nonlinear Schrödinger equation on a fractured strip converge, as the strip narrows, to the ground state of the 1-D equation with a delta potential.