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

被引：0

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

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.

引用

页码：14867 / 14877

页数：11

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