Threshold Scattering for the 2D Radial Cubic-Quintic NLS
We consider the cubic-quintic nonlinear Schrödinger equation in two space dimensions. For this model, X. Cheng established scattering for (Formula presented.) data with mass strictly below that of the ground state for the cubic NLS. Subsequently, R. Carles and C. Sparber utilized the pseudoconformal energy estimate to obtain scattering at the sharp threshold for data belonging to a weighted Sobolev space. In this work, we remove the weighted assumption and establish scattering at the threshold for radial data in (Formula presented.).
J. Murphy, "Threshold Scattering for the 2D Radial Cubic-Quintic NLS," Communications in Partial Differential Equations, Taylor & Francis, Jan 2021.
The definitive version is available at https://doi.org/10.1080/03605302.2021.1928701
Mathematics and Statistics
Keywords and Phrases
Cubic-quintic NLS; scattering; scattering threshold
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2021