Critical nonlinear Schrödinger equations with and without harmonic potential by Rémi Carles (arXiv version 4, 15 May 2002)

Primary preprint: arxiv.org/abs/cond-mat/0112414

Full text: arxiv.org/pdf/cond-mat/0112414

Cited passages: equations (1.4)–(1.5), lens transforms between free and harmonically trapped mass-critical NLS; Proposition 2.1, local solution and continuation statements. Coefficients are rescaled to the wiki convention with Laplacian coefficient one.