Spectral Description of a Class of Infinite-Dimensional Hamiltonian Operators and Its Application to Plane Elasticity Equations Without Body Force
Fan Xiao-Ying, Alatancang · Communications in Theoretical Physics · 2008
In this paper, the results of spectral description and invertihility of upper triangle infinite-dimensional Hamiltonian operators with a diagonal domain are given. By the above results, it is proved that the infinite-dimensional Hamiltonian operator associated with plane elasticity equations without the body force is invertible, and the spectrum of which is non-empty and is a subset of R.