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math.AP2009
Existence of solitary waves in dipolar quantum gases
Paolo Antonelli, Christof Sparber
We study a nonlinear Schroedinger equation arising in the mean-field description of dipolar quantum gases. Under the assumption of sufficiently strong dipolar interactions, the exi…
math.AP2009
Global well-posedness for cubic NLS with nonlinear damping
Paolo Antonelli, Christof Sparber
We study the Cauchy problem for the cubic nonlinear Schroedinger equation, perturbed by (higher order) dissipative nonlinearities. We prove global in-time existence of solutions fo…