Scattering for the critical 2-D NLS with exponential growth. (English) Zbl 1324.35167

The title of the article is already quite descriptive. The authors consider the Cauchy problem for radial initial data. This allows them to utilize sharp Moser-Trudinger type inequalities with best Sobolev constant. To compensate for the lack of compactness at infinity, they utilize a virial type identity that they establish in Section 3.1. This is a compactly written paper with a clear result.


35Q55 NLS equations (nonlinear Schrödinger equations)
35B33 Critical exponents in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35P25 Scattering theory for PDEs
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