以下为句子列表：
英文: By constructing approximate functions and using prior estimate and conversion of variable, it is proved that the inverse problem has weak solution for given initial value, boundary value and the oil output.
中文: 通过变量和函数变换，作逼近函数和估计等方法，证明了对给定的初边值和石油产量，此反问题存在弱解。
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