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讨论了无界区域上半线性热方程确定未知函数偶(u,p)的反问题．设计了一种独特的迭代方法，给出了该问题整体解的存在惟一性和稳定性．“,”Deals with the invers problem of determining. The unknown function pair(u,p) of the semi-linear heat equation in unbounded domain. By a special iterative method,the existence, uniqueness and stability of the global solution are given.