Initial boundary value problem for the KdV equation on a semiaxis with homogeneous boundary conditions

被引：4

作者：

Habibullin, IT ^{[1
]}

机构：

[1] RAS, Ufa Sci Ctr, Math Inst, Ufa, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2002年 / 130卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Boundary Condition; Initial Data; Linear Equation; Discrete Spectrum; Initial Boundary;

D O I：

10.1023/A:1013824330433

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Korteweg-de Vries equation on the semiaxis with zero boundary conditions at x = 0 and arbitrary smooth decreasing initial data. We show that the problem can be effectively integrated by the inverse scattering transform method if the associated linear equation has no discrete spectrum. Under these assumptions, we prove the global solvability of the problem.

引用

页码：25 / 44

页数：20

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