Cauchy problem of certain equations of Schrodinger type

被引：3

作者：

Gourdin, D ^{[1
]}

Ngnosse, S ^{[1
]}

Takeuchi, J ^{[1
]}

机构：

[1] UNIV PARIS 06,UFR 920,UMR MATH 9994,F-75252 PARIS 05,FRANCE

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 324卷 / 10期

关键词：

D O I：

10.1016/S0764-4442(97)87896-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a 2-evolution operator in the sense of Petrowsky, and we assume that the characteristic roots of the principal polynomial with constant coefficients are real and of constant constant multiplicities. Then we give sufficient conditions so that the Cauchy problem both for the future and for the past is well-posed in the Sobolev spaces. Our conditions are analogous to the Levi conditions and to the decomposition conditions of operators in the hyperbolic case for Kowalewskian operators.

引用

页码：1111 / 1116

页数：6

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