渗流方程反问题解的存在唯一性及稳定性

Existence,Uniqueness and Stability of Solution to the Inverse Problem of Fltration Equation

讨论渗流方程反演未知系数的反问题.利用正则化方法证明常系数反问题解的存在唯一性及其关于初始条件和附加条件的稳定性,并利用变分迭代法证明变系数反问题解的存在性.

The inverse problem of filtration equation with unknown coeffcient is discussed in this paper,regularization method applied to prove the existence,uniqueness and stability dependence on initial and additional conditions of the solution of Constant coefficient equation,and variational iteration method used to prove the existence of the solution of variable coefficient equation.