On elastic waves in a wedge

The existence of waves propagating along the edge of the elastic wedge was established by many authors by physically rigorous arguments on the base of numerical computations. The mathematically rigorous proof for wedge with aperture angle less than $\pi/2$ was presented by I. Kamotskii.
We amplify the I. Kamotskii result and prove the existence of the fundamental modes for some range of aperture angles greater than $\pi/2$. Bibl. 7 titles.