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arXiv · 2307.06734

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

Patrick Gérard·Alexander Pushnitski
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Abstract

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

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Patrick Gérard, Alexander Pushnitski. 2023-07-13. The cubic Szegő equation on the real line: explicit formula and well-posedness on the Hardy class. https://arxiv.org/abs/2307.06734

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