GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)-Reference-Cited by-同舟云学术

GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)

Published:2004-03 Issue:01 Volume:01 Page:27-49
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

TAO TERENCE¹

Affiliation:

1. Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA

Abstract

We show that the Benjamin–Ono equation is globally well-posed in Hs(R) for s≥1. This is despite the presence of the derivative in the nonlinearity, which causes the solution map to not be uniformly continuous in Hs for any s [18]. The main new ingredient is to perform a global gauge transformation which almost entirely eliminates this derivative.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891604000032

Reference24 articles.

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