Gavin Stewart

most citedAsymptotics for the cubic 1D NLS with a slowly decaying potential

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2025

Weakly localized states of one dimensional Schrodinger equations have localized energy

Gavin Stewart, Avy Soffer

We study the asymptotics of the Schrödinger equation with time-dependent potential in dimension one. Assuming that the potential decays sufficiently rapidly as $∣ x ∣ \to \infty$ , we…

math.AP2025

On spatial decay for coherent states of the Benjamin-Ono equation

Gavin Stewart

We consider solutions to the Benjamin-Ono equation $\partial_{t} u - H \partial_{x}^{2} u = - \partial_{x} (u^{2})$ that are localized in a reference frame moving to the right with constant…

math.AP2024★ 1 cited

Asymptotics for the cubic 1D NLS with a slowly decaying potential

Gavin Stewart

We consider the asymptotics of the one-dimensional cubic nonlinear Schrödinger equation with an external potential $V$ that does not admit bound states. Assuming that $\jBra{x}^{2+…