On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces

被引：0

作者：

Fonseca, German ^{[1
]}

Riano, Oscar ^{[1
]}

Rodriguez-Blanco, Guillermo ^{[1
]}

机构：

[1] Univ Nacl Colombia, Dept Matemat, Carrera 45,26-85 Edificio Uriel Gutierrez, Bogota, DC, Colombia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2025年 / 250卷

关键词：

BBM equation; Well-posedness; Weighted Sobolev spaces; BENJAMIN-ONO-EQUATION; WELL-POSEDNESS; BLOW-UP; STABILITY; BURGERS; WAVES; PERTURBATIONS;

D O I：

10.1016/j.na.2024.113653

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial value problem associated to the low dispersion fractionary Benjamin- Bona-Mahony equation, fBBM. Our aim is to establish local persistence results in weighted Sobolev spaces and to obtain unique continuation results that imply that those results above are sharp. Hence, arbitrary polynomial type decay is not preserved by the fBBM flow.

引用

页数：18

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