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math.AP2010★ 87 cited
The Quantum Hydrodynamics system in two space dimensions
Paolo Antonelli, Pierangelo Marcati
In this paper we study global existence of weak solutions for the Quantum Hydrodynamics System in 2-D in the space of energy. We do not require any additional regularity and/or sma…
math.AP2010
On the Cauchy Problem for nonlinear Schrödinger equations with rotation
Paolo Antonelli, Daniel Marahrens, Christof Sparber
We consider the Cauchy problem for (energy-subcritical) nonlinear Schrödinger equations with sub-quadratic external potentials and an additional angular momentum rotation term. Thi…