Weighted low-regularity solutions of the KP-1 initial-value problem

Colliander  J; Ionescu  AD; Kenig  CEStaffilani  G

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Weighted low-regularity solutions of the KP-1 initial-value problem

机译：Weighted low-regularity solutions of the KP-1 initial-value problem

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摘要

In this paper we correct the proofs of some statements that Colliander, Kenig and Staffilani made for the KP-I initial-value problem in 2. These corrections actually give stronger well-posedness results than the one claimed in the above mentioned paper. The new proofs are inspired by those used by Ionescu-Kenig ( , , ) in works on the Benjamin-Ono equation and on the Schrodinger map problems.

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来源
《Discrete and continuous dynamical systems》 |2008年第2期|219-258|共40页
作者
Colliander J; Ionescu AD; Kenig CEStaffilani G;
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作者单位

Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada;

Univ Wisconsin, Dept Math, Madison, WI 53706 USA;

Univ Chicago, Dept Math, Chicago, IL 60637 USAMIT, Dept Math, Cambridge, MA 02139 USA;

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正文语种英语
中图分类理论力学（一般力学）;
关键词
KP-I equation; well-posedness; dispersion function; GLOBAL WELL-POSEDNESS; I EQUATION;

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Weighted low-regularity solutions of the KP-1 initial-value problem

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