Well-posedness for a perturbation of the KdV equation

被引：1

作者：

Carvajal, X. ^{[1
]}

Esquivel, L. ^{[2
]}

机构：

[1] Univ Fed Rio de Janeiro, Rio De Janeiro, Brazil

[2] Gran Sasso Sci Inst, I-67100 Laquila, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2019年 / 26卷 / 06期

关键词：

Korteweg-de Vries equation; Cauchy problem; Local well-posedness;

D O I：

10.1007/s00030-019-0596-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a continuation of Carvajal and Panthee (Q Appl Math 74:571-594, 2016). In the present paper we study a dissipative versions of the Korteweg de Vries equation with rough initial data. By working in Bourgain's type spaces we prove local well posedness results in Sobolev spaces of negative order.

引用

页数：19

共 10 条

[1]

Bekiranov D., 1996, DIFFER INTEGRAL EQU, V9, P1253

[2]

Bourgain J., 1993, GEOM FUNCT ANAL, V3, P209, DOI [10.1007/BF01895688, DOI 10.1007/BF01895688]

[3] SHARP LOCAL WELL-POSEDNESS OF KDV TYPE EQUATIONS WITH DISSIPATIVE PERTURBATIONS [J].