Well-posedness in Sobolev spaces for semi-linear 3-evolution equations

被引：0
|
作者：
Ascanelli A. [1 ]
Boiti C. [1 ]
Zanghirati L. [1 ]
机构：
[1] Dipartimento di Matematica ed Informatica, Università di Ferrara, Via Machiavelli n. 35
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2014年 / 60卷 / 1期
关键词：
Non-linear evolution equations; Pseudo-differential operators; Well-posedness in Sobolev spaces;
D O I：
10.1007/s11565-013-0191-y
中图分类号：
学科分类号：
摘要：
We prove local in time well-posedness of the Cauchy problem in Sobolev spaces for semi-linear 3-evolution equations of the first order. We require real principal part, but complex valued coefficients for the lower order terms. Therefore decay conditions on the imaginary parts are needed, as x→∞. © 2013 Università degli Studi di Ferrara.
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页码：5 / 21
页数：16
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