Well-posedness for a perturbation of the KdV equation

被引：0
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作者：
X. Carvajal
L. Esquivel
机构：
[1] Federal University of Rio de Janeiro,
[2] Gran Sasso Science Institute,undefined
来源：
Nonlinear Differential Equations and Applications NoDEA | 2019年 / 26卷
关键词：
Korteweg–de Vries equation; Cauchy problem; Local well-posedness; 35Q35; 35Q53;
D O I：
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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.
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