一类热传导方程边界控制问题的近似处理及误差分析The Approximate Processing and Error Analysis of the Boundary Control Problem for a Class of Heat-conduction Equation
李雷,李胜家
摘要(Abstract):
给出了热传导方程边界控制问题的精确解和近似解,证明了近似解对精确解的收敛性。
关键词(KeyWords): 热传导方程;边界控制;算子半群
基金项目(Foundation):
作者(Author): 李雷,李胜家
参考文献(References):
- [1]CURTAIN R C,PRITCHARD A F.An Introduction to Infinite-Dimensional Linear System Theory[M].New York::Springer-Verlay,1995.
- [2]PAZY A.Semigroups of Linear Operators and Applications to Partial Differential Equations[M].New York:Springer-Verlag,1983.
- [3]BROWN A,PEARCY C.Introduction to Operator Theory I[M].New York:Springer-Verlay,1977.