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On the Cauchy Problem for Nonlinear Schrodinger Equations with Rotation
(American Institute of Mathematical Sciences, 2012-03)
We consider the Cauchy problem for (energy-subcritical) nonlinear Schrodinger equations with sub-quadratic external potentials and an additional angular momentum rotation term. This equation is a well-known model for ...
Existence of solitary waves in dipolar quantum gases
We study a nonlinear Schrodinger equation arising in the mean eld description of dipolar quantum gases. Under the assumption of su- ciently strong dipolar interactions, the existence of standing waves, and hence solitons, ...