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- Pseudo-differential operators (3)
- Asymptotics of solutions (2)
- Edge calculus (2)
- Meromorphic operator-valued symbols (2)
- operator-valued symbols (2)
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- Zaremba problem (1)
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- asymptotic properties of eigenfunctions (1)
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- corner Sobolev spaces with double weights (1)
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- operators with corner symbols (1)
- parametrices of elliptic operators (1)
- pseudo-differential boundary value problems (1)
- pseudo-differential operators (1)
- singular manifolds (1)
- symbols (1)
- weighted Sobolev spaces (1)
- weighted edge and corner spaces (1)
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.