A class of singular nonlinear parabolic equations was considered, after linearing this equations, the corresponding variational problem was obtained, furthermore the existence and uniqueness of weak solution was proved.

• 摘要考虑一类奇异非线性抛物方程，通过对其右端线性化，得到一个与之相应的变分问题，进而证明其弱解的存在唯一性。