【摘要】 目的　研究一类具有奇性右端项的抛物型方程初始边值的摄动问题。方法　利用线性椭圆型方程的正则性及Sobolev嵌入定理等。结果　推广了该问题在一定意义下收敛的原有结果。结论　当ε趋于零时,得到原摄动问题极限状态下的一般结果。更多还原

【Abstract】 AimA class of perturbation problems for parabolic equtions with a singular in homogeneous is discussed.MethodsUsing the linear operator positively theorem and sobolev theorem.ResultsThe solutions of perturbation problems converage to the original problem.ConclusionAs ε tends zero, extend original results and three dimension to the case of higher dimension.更多还原