Hille-Yosida算子的无界扰动与一类抽象边值问题的适定性  

The Unbounded Perturbation of a Hille-Yosida Operator and the Wellposedness for a Class of Abstract Boundary Value Problems

作　　者：费明稳[1] 孙国正[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2007年第1期15-18,共4页Journal of Anhui Normal University(Natural Science)

摘　　要：设A是Banach空间E上的Hille-Yosida算子,B是E上的无界算子,本文证明了B满足一定条件时A+B仍是E上的Hille-Yosida算子,从而给出了当ψ是无界算子时抽象边值问题.f(t)=Amf(t),t≥0Lf(t)=ψf(t),t≥0f(0)=f0的适定性一种判别方法.Let A be a Hille-Yosida operator in a Banach space E, B is unbounded operator in E. Under certain assumptions imposed on B, it is shown that A ＋ B is also a Hille-Yosida operator, and then apply it to characterise the wellposedness of abstract boundary value problems of the form：{f（t）=Amf（t）,t≥0Lf（t）=ψf（t）,t≥0f（0）=f0

关 键 词：边值问题 Hille—Yosida算子 边界扰动 C0-半群 

分 类 号：O177[理学—数学]