期刊信息
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- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
The Inverse Problem for a Heat Conduction Equation
摘要/Abstract
摘要:
介绍了数理方程反问题的研究现状和主要方法.用Galerkin逼近法和拓扑度理论得出一类线性方程反问题的存在性定理,用不动点原理得出一类非线性方程反问题的存在性、惟一性定理,并给出求解反问题的算法和收敛性证明.
Abstract:
The features and methods of studying inverse problems are introduced. The existence of a linear heat conduction equation is given by Carlerkin approximation method and the theory of topo-logical degree. The existence and uniquenes for the inverse problem of nonlinear equation are shown by using the fixed point theory. An algorithm for solving{u,q} is also given.
关键词
关键词:
反问题
;
存在性和惟一性
;
拓扑度
;
Galerkin逼近
;
不动点理论