一类退缩抛物型方程解的性质

The properties of the solutions to One Class of Degenerate parabolic Equations

在空间E^(n+1)的区域Q=Ω×(O,T)考虑满足较一般结构条件的一类退缩抛物型方程(1),证明广义解的有界性,以及如果它的解在Q的抛物边界等于零时,必是平凡解。

At the region Q=Ω·(O,T) in the space E^(n+1), the author considers one class of degenerate parabolic equations satisfying rather general structural conditions. The bounded- ness of generalized solutions is demonstrated. It is also demonstrated that the solution must be trivial solution if the solution vanishes at the parabolic boundary of Q.