关键词: 抛物型, 反问题, 拟牛顿法

Abstract: For the inverse problem respect to parameter inversion of two dimensional parabobic equation with variable coefficients，the paper transforms the inverse problem to the optimized problem of operator theory，this approach can evolve the optimal coefficient estimation by the Quasi-Newton mthod in the giving function space of unknown parameter from observation data objectively and automaticall.The approach is successfully put into practice to solve the inverse problem of two_dimensional parabobic equation whose coefficient is partition paragraph function.The numerical results demonstrate the effectiveness of this method.

Key words: parabobic equation, inverse problem, the Quasi-Newton method