On the analyticity of the solution of the equation of elasticity in the exterior region of the cavity with respect to the wave number

摘要

In. this work, the behavior of the solution of the linearized time-independent equation of dynamic elasticity with respect to the wave number is examined. More precisely, it is proved that this solution: in the exterior of the cavity, constitutes an analytic function of the wave number in the low-frequency region. [References: 12]