ON LONG TIME BEHAVIOR OF SOLUTIONS OF THE SCHRODINGER-KORTEWEG-DE VRIES SYSTEM

被引：3

作者：

Linares, Felipe ^{[1
]}

Mendez, Argenis J. ^{[2
]}

机构：

[1] IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil

[2] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2021年 / 53卷 / 04期

关键词：

asymptotic behavior; decay of solutions; Schrodinger-Korteweg-de Vries; INTERNAL GRAVITY-WAVE; WELL-POSEDNESS; SOLITARY WAVES; CAUCHY-PROBLEM; BOUND-STATES; KDV; STABILITY; EXISTENCE; EQUATION; BREATHERS;

D O I：

10.1137/20M137553X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the decay of long time solutions of the IVP associated to the Schrodinger-Korteweg-de Vries system. We use recent techniques in order to show that solutions of this system decay to zero in the energy space. The result is independent of the integrability of the equations involved, and it does not require any size assumptions.

引用

页码：3838 / 3855

页数：18

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