Propagation of radius of analyticity for solutions to a fourth‐order nonlinear Schrödinger equation

2024

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DOI 10.1002/mma.10309
Data confidence 70 medium
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Abstract

We prove that the uniform radius of spatial analyticity of solution at time to the one‐dimensional fourth‐order nonlinear Schrödinger equation cannot decay faster than for large , given that the initial data are analytic with fixed radius . The main ingredients in the proof are a modified Gevrey space, a method of approximate conservation law, and a Strichartz estimate for free wave associated with the equation.