Gevrey well-posedness for 3-evolution equations with variable coefficients

被引：0

作者：

Arias Jr, Alexandre ^{[1
]}

Ascanelli, Alessia ^{[2
]}

Cappiello, Marco ^{[3
]}

机构：

[1] Univ Fed Parana, Dept Math, BR-81531980 Curitiba, Brazil

[2] Univ Ferrara, Dipartimento Matemat & Informat, Via Machiavelli 30, I-44121 Ferrara, Italy

[3] Univ Turin, Dipartimento Matemat G Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2024年 / 25卷 / 01期

关键词：

CAUCHY-PROBLEM; KDV EQUATION; OPERATORS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Cauchy problem for a class of third -order linear anisotropic evolution equations with complex -valued lower -order terms depending on both the time and space variables. Under suitable decay assumptions for |x | -> infinity on the symbols of these terms, we prove a well-posedness result in Gevrey-type spaces.

引用

页码：1 / 31

页数：31

共 35 条

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