Cone and edge calculus with discrete asymptotics

Details Cone and edge calculus with discrete asymptotics Cone and edge calculus with discrete asymptotics

2009-11-19

arxiv.org/abs/0911.3813v1

Mathematics

Analysis of PDEs

Scientific paper

This investigation is devoted to the program to characterise continuous and variable discrete asymptotics of solutions to elliptic equations on a manifold with edge, continued in a cicle of forthcoming expositions [15], [16]. The structure of continuous and variable discrete (in general branch- ing) asymptotics is very complex. Therefore, in order to make things more transparent we present here the approach first in the special constant di- screte case, based on meromorphic Mellin symbols.

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