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实线上的立方 Szegő 方程：哈代类上的显式和解析性

IF 2.2 1区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL
Communications in Mathematical Physics Pub Date : 2024-07-01 DOI:10.1007/s00220-024-05040-4
Patrick Gérard, Alexander Pushnitski
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引用次数: 0

摘要

我们为实线上的立方 Szegő 方程的解建立了一个明确的公式。利用这个公式，我们证明了这个方程的演化流可以连续地扩展到实线上的整个哈代类 \(H^2\)。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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The Cubic Szegő Equation on the Real Line: Explicit Formula and Well-Posedness on the Hardy Class

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 \(H^2\) on the real line.

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来源期刊
Communications in Mathematical Physics
Communications in Mathematical Physics 物理-物理：数学物理
CiteScore
4.70
自引率
8.30%
发文量
226
审稿时长
3-6 weeks
期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.
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