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

Alexander Pushnitski; Patrick Gerard

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

Alexander Pushnitski, Patrick Gerard

Univ Paris 11, Lab Math Orsay

Research output: Contribution to journal › Article › peer-review

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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 language	English
Journal	Communications in Mathematical Physics
Publication status	Accepted/In press - 16 May 2024

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

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. ",

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AU - Gerard, Patrick

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N2 - 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.

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SN - 0010-3616

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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

Abstract

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