Partial Mass Dynamics of the Defocusing Nonlinear Schrödinger Equation
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 .
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Nonlinear Waves and Solitons
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Studies in Applied Mathematics
- Volume
- 156
- Issue
- 2
- Publication date
- 1 February 2026
- Language
- EN