高阶抽象Cauchy问题的解析性与指数稳定性  

The Analyticity and Exponential Stability of Higher Order Cauchy Problems

作　　者：郑权[1] 

机构地区：[1]华中理工大学数学系

出　　处：《华中理工大学学报》1994年第10期120-126,共7页Journal of Huazhong University of Science and Technology

基　　金：国家自然科学基金

摘　　要：研究高阶抽象Ｃａｕｃｈｙ问题的解及其传播算子的解析性与指数稳定性，得到一些基本结果。同时给出了所得结果对抛物方程的混合问题的应用例子。The analytioity of the solutions and propagators for the higher order Cauchy ptoblem are studied,where Bk(0≤k≤n-1) are closed linear operators on a Banach space X,and Dis dense in X,Some basic results are obtained under the condition that the re-stfiction of Bn-1 in D is the generator of an analytic semigroup.The results of the exponen-tial stability of solutions and propagators are also included.As applications of the abstractresults, two examples of mixed problems for parabolic equations are given.

关 键 词：高阶 解析性 指数稳定性 边值问题 

分 类 号：O175.8[理学—数学]