On the asymptotic behavior of high order moments for a family of Schroedinger equations
Nikolay Tzvetkov, Nicola Visciglia
TL;DR
This paper investigates the long-term behavior and upper bounds of high order moments in solutions to various linear and nonlinear Schrödinger equations, providing insights into their asymptotic properties.
Contribution
It introduces new bounds and asymptotic analysis techniques for high order moments in Schrödinger equations, extending understanding of their long-term dynamics.
Findings
Derived upper bounds for high order moments.
Analyzed asymptotic behavior of moments.
Applicable to both linear and nonlinear Schrödinger equations.
Abstract
We study upper bounds and the asymptotic behavior of high order moments for solutions to a family of linear and nonlinear Schroedinger equations.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Advanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations