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Approximation of Steklov Eigenvalues of Non-Selfadjoint Second Order Elliptic Operators

机译：非自伴二阶椭圆算子steklov特征值的逼近

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In the paper rate of convergence estimates are obtained for the approximation of eigenvalues by Galerkin's method in non-selfadjoint Steklov eigenvalue problems. These estimates follow from a general theory for the approximation of eigenvalues and corresponding spaces of generalized eigenvectors for a certain class of compact operators which is developed. (Author)

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作者
Bramble, J. H.; Osborn, J. E.;
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年度 1972
页码 p.1-21
总页数 21
原文格式 PDF
正文语种 eng
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关键词
Partial differential equations ; Integration ; Hilbert space ; Vector spaces ; Matrix algebra ; Theorems;

机译：偏微分方程;积分; Hilbert空间;向量空间;矩阵代数;定理;

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专利

1. FINITE-DIMENSIONAL APPROXIMATIONS TO THE POINCARé-STEKLOV OPERATOR FOR GENERAL ELLIPTIC BOUNDARY VALUE PROBLEMS IN DOMAINS WITH CYLINDRICAL AND PERIODIC EXITS TO INFINITY [J] . Transactions of the Moscow Mathematical Society for the year ... . 2019,第1a2期

机译：对于Poincaré-steklov运算符的有限尺寸近似，用于圆柱形和周期性的域的一般椭圆边值问题与无穷大的畴
2. Eigenvalue Asymptotics for the Non-Selfadjoint Operator Induced by a Parameter-Elliptic Multi-Order Boundary Problem [J] . Faierman M. Integral equations and operator theory . 2012,第1期

机译：参数椭圆多阶边界问题引起的非自伴算子的特征值渐近性
3. Eigenvalue Asymptotics for the Non-Selfadjoint Operator Induced by a Parameter-Elliptic Multi-Order Boundary Problem [J] . M. Faierman Integral Equations and Operator Theory . 2012,第1期

机译：参数椭圆多阶边界问题引起的非自伴算子的特征值渐近性
4. An enclosure method for real eigenvalues of non-selfadjoint elliptic operators [C] . K. Nagatou The Fifth China-Japan Joint Seminar on Numerical Mathematics Aug 21-25, 2002 Shanghai, China . 2002

机译：非自伴椭圆算子实特征值的封闭方法
5. Principal half-eigenvalues of fully nonlinear homogeneous elliptic operators. [D] . Armstrong, Scott Nathan. 2009

机译：完全非线性齐次椭圆算子的主要半特征值。
6. Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p1… pn)-Laplacian Operator [O] . Armin Hadjian, Saleh Shakeri 2013

机译：一类Dirichlet双特征值拟线性椭圆系统的多重解其中（p1…pn）-拉普拉斯算子
7. Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations [O] . Li, Qin, Lin, Qun, Xie, Hehu 2013

机译：Steklov特征值问题的非协调有限元逼近及其下界逼近
8. Rate of Convergence Estimates for Non-Selfadjoint Eigenvalue Approximations [R] . Bramble, J. H., Osborn, J. E. 1972

机译：非自伴特征值逼近的收敛速度估计

Approximation of Steklov Eigenvalues of Non-Selfadjoint Second Order Elliptic Operators

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