带梯度项的奇异抛物方程古典解的研究

摘要

Some singular parabolic equations with gradient term were discussed.Under certain condi-tions,existence and uniqueness of nonnegative classical solutions for the equations were obtained by para-bolic regularization method and sub-super solution method.As a byproduct,existence of classical radial solutions for some singular parabolic problem was also obtained.%讨论了一类含梯度项的奇异抛物方程。在某些特定条件下，通过抛物正则化方法及上下解方法，获得该类方程的非负古典解的存在性，并证明了其唯一性。并且，由此还得到了某些奇异抛物问题古典径向解。