Perturbation Problems for Parabolic Equations with Singular Inhomogeneous Terms

In this paper, we discuss a class of perturbation problems for parabolic equtions with a singular in homogeneous term and prove that the existence and limit behaviour of generalized solutions to the perturbation problems, moreover we obtain that the solutions of perturbation problems converge to the original problems in a certain sense as e tends to zero and extend these results of in the case of two and three dimension to the case of higher dimension.