【摘要】 主要研究了使用最终温度测量在抛物线热方程中重建空间依赖热源的反问题。在最优控制框架的基础上,建立了成本函数最小值的存在性和必要条件。并且将Landweber迭代算法应用于反问题,并给出数值结果。更多还原

【Abstract】 In this paper, final temperature measurement is applied to inverse problem of reconstructing space in the parabolic heat equation that relies on heat source. Based on the optimal control framework, the existence and necessary conditions of the cost function minimum are established. The Landweber iterative algorithm is also applied to the inverse problem and the numerical results are obtained.更多还原