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

2023/07/13 by Patrick Gérard, Gérard, Patrick, Alexander Pushnitski +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #advanced mathematical theories #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2307.06734

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 H² on the real line.

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