Propagation of radius of analyticity for solutions to a fourth-order nonlinear Schrodinger equation

被引：1
|
作者：
Getachew, Tegegne [1 ]
Belayneh, Birilew [1 ]
Tesfahun, Achenef [2 ]
机构：
[1] Bahir Dar Univ, Dept Math, Bahir Dar, Ethiopia
[2] Nazarbayev Univ, Dept Math, Qabanbai Batyr Ave 53, Nur Sultan 010000, Kazakhstan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 18期
关键词：
fourth-order NLS; lower bound; radius of analyticity; modified Gevrey spaces; INVARIANT GAUSSIAN MEASURES; SPATIAL ANALYTICITY; REGULARITY; STABILITY; DOMAIN;
D O I：
10.1002/mma.10309
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the uniform radius of spatial analyticity sigma(t) of solution at time t to the one-dimensional fourth-order nonlinear Schrodinger equation i partial derivative(t)u - partial derivative(4)(x)xu = vertical bar u vertical bar(2)u cannot decay faster than 1/root t for large t, given that the initial data are analytic with fixed radius sigma(0). The main ingredients in the proof are a modified Gevrey space, a method of approximate conservation law, and a Strichartz estimate for free wave associated with the equation.
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页码：14867 / 14877
页数：11
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