ON MASS CONCENTRATION FOR THE CRITICAL GENERALIZED KORTEWEG-DE VRIES EQUATION

被引：4

作者：

Pigott, B. ^{[1
]}

机构：

[1] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2016年 / 59卷 / 02期

关键词：

Korteweg-de Vries (KdV) equation; critical norm; mass concentration; blow-up; NONLINEAR SCHRODINGER-EQUATION; BLOW-UP SOLUTIONS; WELL-POSEDNESS; KDV; DYNAMICS;

D O I：

10.1017/S001309151500019X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that blow-up solutions of the critical generalized Korteweg-de Vries equation in H-1(R) concentrate at least the mass of the ground state at the blow-up time. The I-method is used to prove a slightly weaker result in H-s(R) with 16/17 < s < 1. Under an assumption on the precise blow-up rate, we are able to use similar arguments to prove a more precise analogue of the H-1(R) concentration result over the same range of s.

引用

页码：519 / 532

页数：14

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