Edge-boundary problems with singular trace conditions (Q2391014)

The authors discuss the solvability of boundary value problems, with a smooth edge on the boundary. A detailed analysis is given on singular, trace conditions; precisely, regular trace operators at the boundary are set, with singularity with respect to the edge. The authors study the related singular Green operators, formulate the corresponding global edge algebra and discuss the notion of ellipticity and parametrix within their calculus. Relevant references are [\textit{S. Coriasco} and \textit{B.-W. Schulze}, Osaka J. Math. 43, No.~1, 63--102 (2006; Zbl 1112.58028)], concerning edge algebras on compact manifolds, and [\textit{G. Harutjunjan} and \textit{B.-W. Schulze}, Elliptic mixed, transmission and singular crack problems, Zürich: European Mathematical Society (EMS). (2008; Zbl 1141.35001)].