非线性抛物方程耦合变分的适定性

The Well-posedness of Coupled Variational Formulation for a Nonlinear Parabolic Equation

本文应用有限元与边界积分方法求解平面上非线性抛物型方程的初边值问题，给出耦合问题的变分形式，证明变分问题的适定性．

In this paper,we apply the coupling of finite element and boundary integral methods to solvethe nibal boundary value problem of nonlinear parabolic equahons.The variahonal formulahon ofthe coupled problem is given,and the well-posedness of the variahonal problem is proved.