Year: 2026
Type: article
Abstract: ABSTRACT We study the long‐time dynamics of the defocusing nonlinear Schrödinger (NLS) equation. Compared with previous literature, we revisit the direct and inverse scattering map to obtain asymptotics in some weighted energy space that requires less restrictive decay and regularity assumptions. The main result is derived from an application of uniform resolvent bound and an approximation argument in the spirit of Riemann–Lebesgue lemma. As a consequence, our result demonstrates that zeros of the solution to the defocusing NLS equation cannot lie in bounded sets as .
Source: Studies in Applied Mathematics
DOI: 10.1111/sapm.70183
Authors: Jiaqi Liu, Xixi Xu
Institution: University of Chinese Academy of Sciences
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Award: G4457570029
OpenAlex ID: W7127307348