Analysis on regular corner spaces (Q2050720)

The paper is devoted to the differential and pseudo-differential calculus on spaces with singular geometry. In particular, a new approach of treating elliptic boundary value problems (BVPs) on manifolds with boundary and regular corners, up to singularity order 2 is established. Ellipticity and parametrices are obtained in terms of symbols taking values in algebras of BVPs on manifolds of corresponding lower singularity orders. The corresponding results on ellipticity and the Fredholm property are formulated in weighted corner spaces.