Nicolas Camps

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math.AP2026

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3 d$ ball

Nicolas Burq, Nicolas Camps, Chenmin Sun +1

We construct probabilistic strong solutions to the cubic Schrödinger equation on the three-dimensional ball with radial initial data, which is a significant improvement of a result…

math.AP2024

The Second Picard iteration of NLS on the $2 d$ sphere does not regularize Gaussian random initial data

Nicolas Burq, Nicolas Camps, Mickaël Latocca +2

We consider the Wick ordered cubic Schrödinger equation (NLS) posed on the two-dimensional sphere, with initial data distributed according to a Gaussian measure. We show that the s…

math.AP2024

Probabilistic well-posedeness for the nonlinear Schrödinger equation on the $2 d$ sphere I: positive regularities

Nicolas Burq, Nicolas Camps, Chenmin Sun +1

We establish the probabilistic well-posedness of the nonlinear Schrödinger equation on the $2 d$ sphere $S^{2}$ . The initial data are distributed according to Gaussian meas…

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the 3d ball

The Second Picard iteration of NLS on the 2d sphere does not regularize Gaussian random initial data

Probabilistic well-posedeness for the nonlinear Schrödinger equation on the 2d sphere I: positive regularities

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3 d$ ball

The Second Picard iteration of NLS on the $2 d$ sphere does not regularize Gaussian random initial data

Probabilistic well-posedeness for the nonlinear Schrödinger equation on the $2 d$ sphere I: positive regularities