Necessary conditions for the well-posedness of Schrodinger type equations in Gevrey spaces

被引：8

作者：

Dreher, M ^{[1
]}

机构：

[1] Freiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, Germany

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2003年 / 127卷 / 06期

关键词：

Schrodinger operator; non-self-adjoint lower order term;

D O I：

10.1016/S0007-4497(03)00026-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss evolution operators of Schrodinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp. (C) 2003 tditions scientifiques et medicales Elsevier SAS. All rights reserved.

引用

页码：485 / 503

页数：19

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