Boundary value problems on manifolds with edges
The analysis of elliptic operators on a manifold W with boundary V and edge Y is developed within a calculus of pseudo-differential boundary value problems on W \ Y with extra trace and potential conditions on the edge and (edge-degenerate) pseudo-differential operators on V \ Y, together with trace and potential conditions and (standard) pseudo-differential operators on Y. The calculus consists of a 3 × 3 block matrix algebra with a three-component symbolic hierarchy, where the ellipticity of boundary and edge data are analogues of the Shapiro-Lopatinskij condition.
KeywordsPrincipal Symbol Frechet Space Cone Algebra Asymptotic Type Edge Symbol
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