Second order parabolic equations in Banach spaces with dynamic boundary conditions

被引：26

作者：

Xiao, TJ ^{[1
]}

Liang, J

机构：

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

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

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 12期

关键词：

differential equations in Banach spaces; second order (in time); parabolic type; dynamic boundary conditions; strict and classical solutions;

D O I：

10.1090/S0002-9947-04-03704-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we exhibit a unified treatment of the mixed initial boundary value problem for second order (in time) parabolic linear differential equations in Banach spaces, whose boundary conditions are of a dynamical nature. Results regarding existence, uniqueness, continuous dependence (on initial data) and regularity of classical and strict solutions are established. Moreover, several examples are given as samples for possible applications.

引用

页码：4787 / 4809

页数：23

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