Andrew Hassell

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20242026

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math.AP2024

The final state problem for the nonlinear Schrodinger equation in dimensions 1, 2 and 3

Andrew Hassell, Qiuye Jia

In this article we consider the defocusing nonlinear Schrödinger equation, with time-dependent potential, in space dimensions $n = 1, 2$ and $3$ , with nonlinearity $∣ u ∣^{p - 1} u$ , $p$ …

math.SP2024

Geodesic flow and decay of traces on hyperbolic surfaces

Antoine Gansemer, Andrew Hassell

We study pseudodifferential operators on a hyperbolic surface using `Zelditch quantization'. We motivate and study the trace of $A_{2}^{*} A_{1} (t)$ , where $A_{2}$ is a fixed operator and…