The Upper Bounds of Arbitrary Eigenvalues for Uniformly Elliptic Operators with Higher Orders  

作　　者：Gao Jia Xiao-ping Yang 

机构地区：[1]College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China [2]School of Science, Nanjing University of Science and Technology, Nanjing 210094, China

出　　处：《Acta Mathematicae Applicatae Sinica》2006年第4期589-598,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10471063)

摘　　要：Let Ωbelong to R^m （m≥ 2） be a bounded domain with piecewise smooth and Lipschitz boundary δΩ Let t and r be two nonnegative integers with t ≥ r ＋ 1. In this paper, we consider the variable-coefficient eigenvalue problems with uniformly elliptic differential operators on the left-hand side and （-Δ）^T on the right-hand side. Some upper bounds of the arbitrary eigenvalue are obtained, and several known results are generalized.Let Ωbelong to R^m （m≥ 2） be a bounded domain with piecewise smooth and Lipschitz boundary δΩ Let t and r be two nonnegative integers with t ≥ r ＋ 1. In this paper, we consider the variable-coefficient eigenvalue problems with uniformly elliptic differential operators on the left-hand side and （-Δ）^T on the right-hand side. Some upper bounds of the arbitrary eigenvalue are obtained, and several known results are generalized.

关 键 词：Uniformly elliptic operator of any order eigeuvalue EIGENFUNCTION upper bound 

分 类 号：O175.9[理学—数学]