The spectrum of the Coriolis operator in axisymmetric domains with edges (Q1387325)

Let \(G\subset \mathbb{R}^3\) be a bounded domain, \(S\subset L^2 (G)^3\) the closure in \(L^2\) of the set \(\{\varphi\in C_0^\infty (G)^3\mid \nabla \cdot \varphi= 0\}\), and \(P:H \to S\) the orthogonal projection. The author proves a theorem on the absence of eigenvalues of the Coriolis operator \(B\), which is defined as \(Bu= P(u\times k)\), where \(k= (0,0,1)\).