一类非线性退缩抛物型方程组解的唯一性

ON THE UNIQUENESS OF SOLUTION FOR A KIND OF DEGENERATE NONLINEAR PARABOLIC SYSTEM EQUATIONS

本文讨论一类非线性退缩抛物型方程组解的唯一性.在一定条件之下,得到一维的Field—Noyes 方程组第一边值问题广义解的唯一性结论.

This paper studies the umqueness of solution for the degenerate nonlinear parabolic system equations.On certain assumptions,the author obtains the uniqueness of the gen- eralized solution for the first boundary value problem for 1-dimenson Field-Noyes system.The existence and the other property of this system have been discussed by many authors,but the result obtained in this paper can be applied to the general systems.