On optimal exponential decay properties of solutions to the Korteweg-de Vries Equation

被引：1
|
作者：
Isaza, Pedro [1 ]
Leon, Carlos A. [1 ]
机构：
[1] Univ Nacl Colombia, Dept Matemat, Medellin 3840, Colombia
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 09期
关键词：
Korteweg de Vries equation; Exponential decay; Kato estimates; DEVRIES EQUATION; ILL-POSEDNESS;
D O I：
10.1016/j.jde.2017.06.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Cauchy problem associated to the Korteweg de Vries equation (KdV) and study the preservation of exponential decay of order 3/2 on the right of the x-axis as time evolves. More precisely, for a solution of the equation which decays at t = 0 as e(-a0x3/2) for x > 0, we find an optimal function a(t) with a(0) = a(0) such that the solution decays as e(-a(t)x3/2) for x, t > 0. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：5189 / 5215
页数：27
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