Refine
Document Type
- Article (4)
- Doctoral Thesis (1)
- Postprint (1)
- Preprint (1)
Language
- English (7)
Keywords
- Asymptotics of solutions (1)
- Cone and edge pseudo-differential operators (1)
- Elliptic operators in domains with edges (1)
- Ellipticity of edge-degenerate operators (1)
- Meromorphic operator-valued symbols (1)
- Zaremba problem (1)
- boundary value problems (1)
- corner Sobolev spaces with double weights (1)
- pseudo-differential boundary value problems (1)
- weighted edge spaces (1)
Institute
We study operators on singular manifolds, here of conical or edge type, and develop a new general approach of representing asymptotics of solutions to elliptic equations close to the singularities. We introduce asymptotic parametrices, using tools from cone and edge pseudo-differential algebras. Our structures are motivated by models of many-particle physics with singular Coulomb potentials that contribute higher order singularities in Euclidean space, determined by the number of particles.