The cubic Szego equation on the real line: explicit formula and well-posedness on the Hardy class

Alexander Pushnitski, Patrick Gerard

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Abstract

We establish an explicit formula for the solution of the cubic Szego equation on the real line. Using this formula, we prove that the evolution flow of this equation can be continuously extended to the whole Hardy class $H^2$ on the real line.

Original languageEnglish
JournalCommunications in Mathematical Physics
Publication statusAccepted/In press - 16 May 2024

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