双调和方程的Phragmen－Lindelof二择性定理

A Phragmen-Lindelof Alternative Theorem for the Biharmonic Equation

对平面半无限带状区域上的双调和方程边值问题的能量积分的ＰｈｒａｇｍｅｎＬｉｎｄｅｌｏｆ二择性定理，证明了随着与区域有限端距离的增长，能量或者按指数式增长或者按指数式衰减．对衰减情况，求出全能量积分的显式上界．

We derive a alternative phragmen-Lindelof theorem for energy expressions of solutions of a biharmonic boundary value problem in a semi-infinite strip, i. e we prove enersy must either grow exponentially or decay exponentially with the distance from the finite end of the strip. For the case of decay, we also present a method of obtaining explicit upper bound of the total energy.