Initial boundary value problems for some nonlinear dispersive models on the half-line: a review and open problems

被引：3

作者：

Cavalcante, Marcio ^{[1
]}

机构：

[1] Univ Fed Alagoas, Inst Matemat, BR-50740545 Maceio, AL, Brazil

来源：

SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2019年 / 13卷 / 02期

关键词：

Initial boundary value problems; Nonlinear dispersive equations; Open problems; DE-VRIES EQUATION; KORTEWEG-DEVRIES EQUATION; GLOBAL WELL-POSEDNESS; REGULARITY PROPERTIES; SCHRODINGER-EQUATION; KAWAHARA EQUATION; CAUCHY-PROBLEM; QUARTER-PLANE; WATER-WAVES;

D O I：

10.1007/s40863-019-00144-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the last years the study of initial boundary value problems for nonlinear dispersive equations on the half-lines has given attention of many researchers. This turns out to be a rather challenging problem, mainly when studied in low Sobolev regularity. In this note we present a review of the main results about this topic and also introduce interesting open problems which still requires attention from the mathematical point of view.

引用

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页码：418 / 434

页数：17

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