抛物型方程广义解的Phragmen-Lindelf原理

A PHRAGMEN-LINDELOF THEOREM FOR GENERALIZED SOLUTIONS OF PARABOLIC EQUATIONS

设Ω为Ｅｎ中的无界，连通区域．在Ω×（０，∞）上考虑抛物型方程：设，Ｂ满足结构条件：设存在和，使对任何ρ０＞ρ１＞０：设ｕ是方程的广义解，并且如果ｕ在Ω×（０，Ｔ）为有界，那么ｕ＋≤０．

A lot of papers show that the properlies of solutions of elliptic equations are similar to that of parabolic equations. There are papers which devote to prove the phragmen-Lindelof principle for the generalized solutions of elliptic equations But the phragmn-Lindelof type theorem has been proved only for the similar situation of parabolic equations with their principle parts. In this paper the result is extended tO more gineral parabolic equations.