Abstract wave equations with generalized Wentzell boundary conditions

被引：18

作者：

Bátkai, A

Engel, KJ

机构：

[1] Univ Laquila, Dept Pure & Appl Math, Div Engn, I-67040 Roio Poggio, Italy

[2] ELTE, TTK, Dept Appl Anal, H-1518 Budapest, Hungary

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 207卷 / 01期

基金：

匈牙利科学研究基金会;

关键词：

wave equations; sine and cosine families; Wentzell boundary conditions; phase spaces; perturbation; operator matrices;

D O I：

10.1016/j.jde.2003.12.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a general framework which allows to verify if abstract wave equations with generalized Wentzell boundary conditions are well-posed, i.e., are governed by a cosine family. As an example we study wave equations for second order differential operators on C[0,1] with non-local Wentzell-type boundary conditions. Moreover, in Appendix A we give a perturbation result for sine and cosine families. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：1 / 20

页数：20

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