Shows probabilistic well-posedness of nonlinear Schrödinger equations on a sphere, indicating potential for low regularity solutions.
We present recent results on probabilistic well-posedness of the two dimensional NLS, posed on the sphere. These results deal with low regularity solutions. The construction of such solutions is beyond the scope of applicability of the deterministic methods of Burq-Gérard-Tzvetkov developed between 2000 and 2004.
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Burq et al. (2026) studied this question.
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