A Liouville theorem for the Chern–Simons–Schrödinger equation

Benjamin Dodson

doi:10.3934/dcds.2023110

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2024, Volume 44, Issue 2: 447-461. Doi: 10.3934/dcds.2023110

This issue Previous Article Multilinear Wiener-Wintner type ergodic averages and its application Next Article Anisotropic singular Trudinger-Moser inequalities on the whole Euclidean space

A Liouville theorem for the Chern–Simons–Schrödinger equation

Benjamin Dodson

Johns Hopkins University, USA

Received: February 2023

Revised: September 2023

Early access: September 2023

Published: February 2024

The first author is supported by [NSF Grant DMS-2153750]

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Abstract

In this paper we prove a Liouville theorem for the Chern–Simons–Schrödinger equation. This result is consistent with the soliton resolution conjecture for initial data that does not lie in a weighted space. See [10] for the soliton resolution result in a weighted space.

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Mathematics Subject Classification: Primary: 35Q55; Secondary: 35Q51.

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References

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