Pseudodifferential equations in cones with conjugation points on the boundary (Q901877)

The paper deals with the solvability of pseudo-differential equations in Sobolev spaces over certain models for non-Lipschitz singular spaces. The models are non-convex cones \(C_+\subset\mathbb{R}^m\) obtained as finite unions of disjoint convex cones \(C_j\) with common apex. A Wiener-Hopf-type factorization method is presented and the solution decompositions for \(C_+\) are assembled from associated solutions for the \(C_j\)'s.