UNCONDITIONAL UNIQUENESS FOR THE BENJAMIN-ONO EQUATION

R?zvan Mo?incat; Didier Pilod

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UNCONDITIONAL UNIQUENESS FOR THE BENJAMIN-ONO EQUATION

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摘要

We study the unconditional uniqueness of solutions to the Benjamin—Ono equation with initial data in H~s, both on the real line and on the torus. We use the gauge transformation of Tao and two iterations of normal form reductions via integration by parts in time. By employing a refined Strichartz estimate we establish the result below the regularity threshold s = 1/6. As a by-product of our proof, we also obtain a nonlinear smoothing property on the gauge variable at the same level of regularity.

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来源
《Pure and applied analysis》 |2023年第2期|285-322|共38页
作者
R?zvan Mo?incat; Didier Pilod;
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作者单位

Department of Mathematics, University of Bergen, Bergen, Norway;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Benjamin-Ono equation; unconditional well-posedness; normal form method;

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UNCONDITIONAL UNIQUENESS FOR THE BENJAMIN-ONO EQUATION

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