The variable discrete asymptotics of solutions of singular boundary value problems
B.‐W. Schulze · Birkhäuser Basel eBooks · 1992
The theory of pseudo-differential operators ( ψDO’s ) on manifolds with higher-dimensional singularities (e.g. edges) was developed in [S3], [S6] in such a way that the standard elliptic (pseudo-differential) boundary value problems can be regarded as “edge problems”. In this approach the boundary is interpreted as the edge and the inner normal ℝ + as the model cone of the wedge. In this case the “wedge” is of the form ℝ + x Ω with some open set Ω ⊆ { boundary }. The idea is to perform a pseudo-differential calculus along Ω with operator-valued amplitude functions (symbols) acting in distribution spaces along ℝ + . Elements of the technique may also be found in [R2], [S3]. The point of view of boundary value problems hass been elaborated in detail also in [S4, Chapter 2]. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.