研究了具有奇性的一类抛物方程的初边值问题.在较弱条件下,通过抛物正则化方法证明了此问题存在一个弱解,而且证明了这个弱解还是最大弱解.
The initial-boundary value problem for a class of singular parabolic equations was studies and, under some additional conditions, it was proved by parabolic regularization that there existed a weak solution to the problem. Moreover, it was shown that the solution obtained by parabolic regularization was the maximal of all the weak solutions.