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arXiv · 2307.06734

The cubic Szeg\H{o} 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 Szeg\H{o} 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 Szeg\H{o} equation on the real line: explicit formula and well-posedness on the Hardy class. https://arxiv.org/abs/2307.06734

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