A Decay estimate for cubic defocusing non-linear Schr\"odinger equation in three dimensions
Yi Sun
TL;DR
This paper establishes a decay estimate for solutions to the three-dimensional cubic defocusing nonlinear Schrödinger equation, contributing to the understanding of long-term behavior of such nonlinear wave equations.
Contribution
It provides a new decay estimate specifically for the 3D cubic defocusing nonlinear Schrödinger equation, advancing the theoretical analysis of its solutions.
Findings
Proves a decay estimate for solutions in three dimensions.
Enhances understanding of long-term solution behavior.
Offers potential applications in scattering theory.
Abstract
In this short note, we prove a decay estimate for non-linear solutions of 3D cubic defocusing non-linear Schr\"odinger equation.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Nonlinear Partial Differential Equations