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arXiv · 2508.16794

Modified Scattering and Asymptotic Completeness for the Derivative Nonlinear Schr\"odinger equation

Allison Byars
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Abstract

We prove a modified scattering and asymptotic completeness for the derivative nonlinear Schr\"odinger equation. This is the first result proving asymptotic completeness in a quasilinear setting. Our approach combines the method of testing by wave packets, introduced by Ifrim and Tataru, a bootstrap argument, and the Klainerman Sobolev vector field method.

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Allison Byars. 2025-08-22. Modified Scattering and Asymptotic Completeness for the Derivative Nonlinear Schr\"odinger equation. https://arxiv.org/abs/2508.16794

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