一类非线性抛物型方程广义解的唯一性

UNIQUENESS OF THE GENERALIZED SOLUTIONS OF A KIND OF NONLINEAR PARABOLIC EQUATIONS

在假定ａ＇（ｕ）≥０条件下证明了非线性退缩抛物型方程的第一边值问题广义解的唯一性。

In this peper,The uniqueness of generalized solutions of the first boundary problem of nonlinear degenerate parabolic equations (α(u) )t=(c (u ))xx-(K(u)). + f(u) is proved under the condition α'(u)≥0.