Finite Element Methods For Nonlinear Parabolic Problems With Singularities In One Demension

A class of nonlinear parabolic boundary value problems with singular coefficients areconsidered in this article.The proof are given for the existence and uniqueness of integralapproximation weak solution,and the weighed H~1 norm are given for both semidiscrete andfully discrete solutions in not considering of integral impact.At the same time,the weighedH~1 norm of finite element solution are proved in considering of integral impact.