| LIOUVILLE＇S THEOREM FOR LPDO WITH CONSTANT COEFFICIENTS |
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| 引用本文： | 韩亚洲 罗学宝. LIOUVILLE＇S THEOREM FOR LPDO WITH CONSTANT COEFFICIENTS[J]. 数学物理学报(B辑英文版), 2005, 25(2): 296-300. DOI: 10.1016/S0252-9602(17)30286-2 |
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| 作者姓名： | 韩亚洲 罗学宝 |
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| 作者单位： | [1]DepartmentofAppliedMathematics,NorthwesternPolytechnicalUniversity,Xi＇an710072,China [2]DepartmentofAppliedMathematics,NorthwesternPolytechnicalUniversity,Xi＇an710072,China |
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| 摘 要： | In this note, the authors consider a class of linear partial differential operators P(Э) with constant coefficients and prove that the operator P(Э) has Liouville property if and only if the polynomial P(iξ) doesn‘t have roots in R^n{0}.
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| 关 键 词： | LIOUVILLE定理 LPDO 线性偏微分算子 常系数 多项式算子 |
| 收稿时间： | 2003-01-20 |
LIOUVILLE''''S THEOREM FOR LPDO WITH CONSTANT COEFFICIENTS |
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| HAN YAZHOU,Luo Xuebo. LIOUVILLE''''S THEOREM FOR LPDO WITH CONSTANT COEFFICIENTS[J]. Acta Mathematica Scientia, 2005, 25(2): 296-300. DOI: 10.1016/S0252-9602(17)30286-2 |
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| Authors: | HAN YAZHOU Luo Xuebo |
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| Affiliation: | 1. Department of Mathematics, Zarqa University, Zarqa 13110, Jordan;2. Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates;3. Department of Mathematics, The University of Jordan, Amman 11942, Jordan;1. University of Adelaide, Australia;2. Dartmouth College, United States;1. Department of Civil, Chemical, Environmental and Materials – DICAM, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy;2. Chair for Structures and Structural Design – RWTH-Aachen University, Schinkelstr. 1, 52064 Aachen, Germany |
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| Abstract: | In this note, the authors consider a class of linear partial differential operators P(θ) with constant coefficients and prove that the operator P(θ) has Liouville property if and only if the polynomial P(iξ) doesn't have roots in Rn{O}. |
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| Keywords: | Liouville property LPDO with constant coefficients |
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