Decay estimates for nonlinear Schr\"odinger equations
Chenjie Fan, Zehua Zhao
TL;DR
This paper provides decay estimates for solutions to specific nonlinear Schrödinger equations in three and two dimensions, aiding understanding of their long-term behavior.
Contribution
It introduces new decay estimates for nonlinear solutions of 3d quintic, 3d cubic, and 2d quintic NLS equations, which were previously less understood.
Findings
Decay estimates for 3d quintic NLS
Decay estimates for 3d cubic NLS
Decay estimates for 2d quintic NLS
Abstract
In this short note, we present some decay estimates for nonlinear solutions of 3d quintic, 3d cubic and 2d quintic NLS (nonlinear Schr\"odinger equations).
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Stability and Controllability of Differential Equations · Mathematical Analysis and Transform Methods