The Neumann and Robin problems for the Korteweg-de Vries equation on the half-line

被引：7

作者：

Himonas, A. Alexandrou ^{[1
]}

Madrid, Carlos ^{[1
]}

Yan, Fangchi ^{[2
]}

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[2] West Virginia Univ, Dept Math, Morgantown, WV 26506 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 11期

关键词：

NONLINEAR SCHRODINGER-EQUATION; BOUNDARY-VALUE-PROBLEM; GLOBAL WELL-POSEDNESS; TRANSFORM METHOD; DEVRIES EQUATION; EVOLUTION; FOKAS; KDV;

D O I：

10.1063/5.0064147

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The well-posedness of the Neumann and Robin problems for the Korteweg-de Vries equation is studied with data in Sobolev spaces. Using the Fokas unified transform method, the corresponding linear problems with forcing are solved and solution estimates are derived. Then, using these, an iteration map is defined, and it is proved to be a contraction in appropriate solution spaces after the needed bilinear estimates are derived.</p>

引用

页数：24

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