Weighted local Strichartz estimates are established for the Ornstein-Uhlenbeck Schrödinger propagator, giving local well-posedness of the associated nonlinear Schrödinger equation below and at the L2-Gaussian critical power.
Banica, Remarks on the blow-up for Schr¨ odinger equations with critical mass on a plane domain, Ann
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Local Dispersive and Strichartz estimates for the Schr\"odinger equation associated to the Ornstein-Uhlenbeck operator
Weighted local Strichartz estimates are established for the Ornstein-Uhlenbeck Schrödinger propagator, giving local well-posedness of the associated nonlinear Schrödinger equation below and at the L2-Gaussian critical power.