具双障碍的变分问题的抛物逼近

Parabolic approximation to variational problems with double obstacles

讨论具双障碍的椭元变分不等式 .将其化成一个非线性边值问题 ,然后用相应的抛物初边值问题逼近 .因抛物问题有标准的计算机程序 ,故所得结果对微分方程的理论和数值模拟都是有用的 .

An elliptic variational inequality with double obstacles was discussed,which can be rewritten as a nonlinear boundary value problem.A parabolic initial- boundary value problem was used to approximate it and that the variational problem can be regarded as a limit of the parabolic problem was proved.From the viewpoint of numerical computation parabolic equations are easy and can be done using extremely stable standard computer routines.Therefore,the result is useful both forthe theory of differential equations and for the numerical computation.