@article{FladHarutyunyanSchulze2016, author = {Flad, H. -J. and Harutyunyan, Gohar and Schulze, Bert-Wolfgang}, title = {Asymptotic parametrices of elliptic edge operators}, series = {Journal of pseudo-differential operators and applications}, volume = {7}, journal = {Journal of pseudo-differential operators and applications}, publisher = {Springer}, address = {Basel}, issn = {1662-9981}, doi = {10.1007/s11868-016-0159-7}, pages = {321 -- 363}, year = {2016}, abstract = {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.}, language = {en} }