TY  - JOUR
A1  - Chang, Der-Chen
A1  - Habal, Nadia
A1  - Schulze, Bert-Wolfgang
T1  - The edge algebra structure of the Zaremba problem
T2  - Journal of pseudo-differential operators and applications
N2  - We study mixed boundary value problems, here mainly of Zaremba type for the Laplacian within an edge algebra of boundary value problems. The edge here is the interface of the jump from the Dirichlet to the Neumann condition. In contrast to earlier descriptions of mixed problems within such an edge calculus, cf. (Harutjunjan and Schulze, Elliptic mixed, transmission and singular crack problems, 2008), we focus on new Mellin edge quantisations of the Dirichlet-to-Neumann operator on the Neumann side of the boundary and employ a pseudo-differential calculus of corresponding boundary value problems without the transmission property at the interface. This allows us to construct parametrices for the original mixed problem in a new and transparent way.
Y1  - 2014
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/38004
SN  - 1662-9981
SN  - 1662-999X
VL  - 5
IS  - 1
SP  - 69
EP  - 155
PB  - Springer
CY  - Basel
ER  -