THE SPECTRUM OF A HYPERBOLIC EVOLUTION OPERATOR

被引：11

作者：

COOPER, J ^{[1
]}

KOCH, H ^{[1
]}

机构：

[1] UNIV HEIDELBERG, D-69120 HEIDELBERG, GERMANY

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1995年 / 133卷 / 02期

关键词：

D O I：

10.1006/jfan.1995.1127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the time T-map U which maps initial data (u(0), u(1)) to the solution and its derivative (u(T), u(1)(T)) of the homogeneous wave equation in a domain with time T-periodic boundary. The spectrum of U and the type of the spectrum are completely analyzed. The spectrum is the unit circle if a certain rotation number is irrational. It is a full annulus if this rotation number is rational and a weak additional assumption is satisfied. (C) 1995 Academic Press, Inc.

引用

页码：301 / 328

页数：28

共 7 条

[1] FLOQUET THEORY FOR PARABOLIC DIFFERENTIAL-EQUATIONS [J].