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math.AP2019★ 3 cited
Global well-posedness for the non-linear Maxwell-Schrödinger system
Paolo Antonelli, Pierangelo Marcati, Raffaele Scandone
In this paper we study the Cauchy problem associated to the Maxwell-Schrödinger system with a defocusing pure-power non-linearity. This system has many applications in physics, for…
math.SP2019
Zero modes and low-energy resolvent expansion for three dimensional Schrodinger operators with point interactions
Raffaele Scandone
We investigate the low-energy behavior of the resolvent of Schrodinger operators with finitely many point interactions in three dimensions. We also discuss the occurrence and the m…