Complete second order differential equations in Banach spaces with dynamic boundary conditions

被引：32

作者：

Xiao, TJ ^{[1
]}

Liang, J

机构：

[1] Univ Sci & Technol China, Dept Math, Anhua 230026, Peoples R China

[2] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 200卷 / 01期

基金：

中国国家自然科学基金;

关键词：

second order; differential equations in Banach spaces; mixed initial boundary value problem; dynamic boundary conditions; wellposedness; inhomogeneous; hyperbolic equations; Wentzell boundary conditions;

D O I：

10.1016/j.jde.2004.01.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with the mixed initial boundary value problem for complete second order (in time) linear differential equations in Banach spaces, in which time-derivatives occur in the boundary conditions. General wellposedness theorems are obtained (for the first time), which are used to solve the corresponding inhomogeneous problems. Examples of applications to initial boundary value problems for partial differential equations are also presented. (C) 2004 Published by Elsevier Inc.

引用

页码：105 / 136

页数：32

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