Block basis property of a class of 2×2 operator matrices and its application to elasticity

doi:10.1088/1674-1056/22/9/094601

Abstract A necessary and sufficient condition is obtained for the generalized eigenfunction systems of 2×2 operator matrices to be a block Schauder basis of some Hilbert space, which offers a mathematical foundation of solving symplectic elasticity problems by using the method of separation of variables. Moreover, the theoretical result is applied to two plane elasticity problems via the separable Hamiltonian systems.

Keywords: symplectic elasticity block Schauder basis separable Hamiltonian system operator matrices

Received: 12 March 2013
Revised: 02 April 2013
Accepted manuscript online:

PACS:	46.25.-y	(Static elasticity)
	02.30.Jr	(Partial differential equations)
	02.30.Tb	(Operator theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11361034 and 11371185), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20111501110001), and the Natural Science Foundation of Inner Mongolia, China (Grant Nos. 2012MS0105 and 2013ZD01 ).

Corresponding Authors: Hou Guo-Lin
E-mail: smshgl@imu.edu.cn

Cite this article:

Song Kuan (宋宽), Hou Guo-Lin (侯国林), Alatancang (阿拉坦仓) Block basis property of a class of 2×2 operator matrices and its application to elasticity 2013 Chin. Phys. B 22 094601

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Block basis property of a class of 2×2 operator matrices and its application to elasticity

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