The Cubic Szegő Equation on the Real Line: Explicit Formula and Well-Posedness on the Hardy Class

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发表日期：

2024年7月1日

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Patrick Gérard,
Alexander Pushnitski

摘要

We establish an explicit formula for the solution of the cubic Szegő 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 $H^2$ $H^{2}$ on the real line.