Keywords: Incompressible Initial stress Anisotropic S-wave Gravity field a b s t r a c t In this paper, propagation of shear waves in a non-homogeneous anisotropic incompress-ible, gravity field and initially stressed medium is studied. Analytical analysis reveals that the velocity of propagation of the shear waves depends upon the direction of propagation, the anisotropy, gravity field, non-ho...

Abstract First, we calculate, in a heuristic manner, the Green function of an orthotropic plate half-plane which is clamped along boundary. We then justify solution and generalize our approach to operators form $$(Q(\partial ')-a^2\partial _n^2)(Q(\partial ')-b^2\partial _n^2)$$ ( Q ...

We use coarse index methods to prove that the Landau Hamiltonian on hyperbolic half-plane, and even much more general imperfect half-spaces, has no spectral gaps. Thus edge states of quantum Hall Hamiltonians completely fill up gaps between levels, just like those Euclidean counterpart.