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math.AP2023
On the formation of singularities for the slightly supercritical NLS equation with nonlinear damping
Paolo Antonelli, Boris Shakarov
We consider the focusing, mass-supercritical NLS equation augmented with a nonlinear damping term. We provide sufficient conditions on the nonlinearity exponents and damping coeffi…
math.AP2023★ 1 cited
Existence and Large Time Behavior for a Dissipative Variant of the Rotational NLS Equation
Paolo Antonelli, Boris Shakarov
We study a dissipative variant of the Gross-Pitaevskii equation with rotation. The model contains a nonlocal, nonlinear term that forces the conservation of -norm of solutions…