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, 44121 Ferrara

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.

引用

页码：5 / 21

页数：16