On uniqueness for half-wave maps in dimension 𝑑≥3

Eyeson, Eugene; Reyes Farina, Silvino; Schikorra, Armin

doi:10.1090/btran/171

On uniqueness for half-wave maps in dimension $d \geq 3$
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by Eugene Eyeson, Silvino Reyes Farina and Armin Schikorra

Trans. Amer. Math. Soc. Ser. B 11 (2024), 508-539

DOI: https://doi.org/10.1090/btran/171

Published electronically: February 22, 2024

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Abstract:

Extending an argument by Shatah and Struwe [Int. Math. Res. Not. 11 (2002), pp. 555–571] we obtain uniqueness for solutions of the half-wave map equation in dimension $d \geq 3$ in the natural energy class.

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