zbMATH — the first resource for mathematics

Mellin symbolic calculus and asymptotics for boundary value problems. (English) Zbl 0595.31012
Semin. Anal. 1984/85, 23-72 (1985).
This is a survey of the results of the authors concerning the Mellin and Green symbolic calculus in spaces with conormal asymptotics. They develop an analogue of Boutet de Monvel’s theory of pseudo-differential boundary problems for manifolds with conical singularities. The symbolic refers from the very beginning to spaces with conormal asymptotics.
Reviewer: B.Konopelchenko

31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
35S15 Boundary value problems for PDEs with pseudodifferential operators
35R05 PDEs with low regular coefficients and/or low regular data