基于确定输油管道多个漏失点的实际背景,首次提出一种描述具有多个点热源的抛物型偏微分方程源反问题新模型,再利用热变换将之转换成相应的双曲型点波源反问题,进而在给定条件下得到该反问题的唯一性.
According to the identification of multi-leaks in oil-pipe, a new model of inverse parabolic source problem is here presented which is to describe many heat sources, and then it is transformed, with the help of heat-transformation, into a corresponding equivalent inverse hyperbolic problem with point wave sources. As a result of some subtle observation, the uniqueness of the former inverse problem is derived.