| 双调和方程的Phragmen－Lindelof二择性定理 |
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| 引用本文： | 蔡崇喜,林长好. 双调和方程的Phragmen－Lindelof二择性定理[J]. 中山大学学报(自然科学版), 1996, 0(2) |
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| 作者姓名： | 蔡崇喜 林长好 |
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| 作者单位： | 中山大学应用力学与工程系，华南师范大学数学系 |
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| 摘 要： | 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．
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| 关 键 词： | 双调和方程，能量积分估计，Phragmen－Lindelof二择性 |
A Phragmen-Lindelof Alternative Theorem for the Biharmonic Equation |
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| Cat Chongxi, Lin Changhao. A Phragmen-Lindelof Alternative Theorem for the Biharmonic Equation[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1996, 0(2) |
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| Authors: | Cat Chongxi Lin Changhao |
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| Abstract: | 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. |
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| Keywords: | biharmonic equation energy integral estimate phragmen-Lindelof alternative |
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