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20092026
most citedLimiting absorption principle for the dissipative Helmholtz equation

46 citations · 144 across the 25 of their papers we have counts for

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math.AP2015

On the Cauchy problem and the black solitons of a singularly perturbed Gross-Pitaevskii equation

Isabella Ianni, Stefan Le Coz, Julien Royer

We consider the one-dimensional Gross-Pitaevskii equation perturbed by a Dirac potential. Using a fine analysis of the properties of the linear propagator, we study the well-posedn…