@article{HedayatMahmoudiSchulze2016,
  author    = {Hedayat Mahmoudi, Mahdi and Schulze, Bert-Wolfgang},
  title     = {Corner boundary value problems},
  series = {Asian-European journal of mathematics},
  volume    = {10},
  journal   = {Asian-European journal of mathematics},
  number    = {1},
  publisher = {World Scientific},
  address   = {Singapore},
  issn      = {1793-5571},
  doi       = {10.1142/S1793557117500541},
  pages     = {45},
  year      = {2016},
  abstract  = {The paper develops some crucial steps in extending the first-order cone or edge calculus to higher singularity orders. We focus here on order 2, but the ideas are motivated by an iterative approach for higher singularities.},
  language  = {en}
}
@article{ChangViahmoudiSchulze2016,
  author    = {Chang, D. -C. and Viahmoudi, M. Hedayat and Schulze, Bert-Wolfgang},
  title     = {PSEUDO-DIFFERENTIAL ANALYSIS WITH TWISTED SYMBOLIC STRUCTURE},
  series = {Journal of nonlinear and convex analysis : an international journal},
  volume    = {17},
  journal   = {Journal of nonlinear and convex analysis : an international journal},
  publisher = {Yokohama Publishers},
  address   = {Yokohama},
  issn      = {1345-4773},
  pages     = {1889 -- 1937},
  year      = {2016},
  abstract  = {This paper is devoted to pseudo-differential operators and new applications. We establish necessary extensions of the standard calculus to specific classes of operator-valued symbols occurring in principal symbolic hierarchies of operators on manifolds with singularities or stratified spaces.},
  language  = {en}
}
@article{LyuSchulze2016,
  author    = {Lyu, Xiaojing and Schulze, Bert-Wolfgang},
  title     = {Mellin Operators in the Edge Calculus},
  series = {Complex analysis and operator theory},
  volume    = {10},
  journal   = {Complex analysis and operator theory},
  publisher = {Springer},
  address   = {Basel},
  issn      = {1661-8254},
  doi       = {10.1007/s11785-015-0511-6},
  pages     = {965 -- 1000},
  year      = {2016},
  abstract  = {A manifold M with smooth edge Y is locally near Y modelled on X-Delta x Omega for a cone X-Delta := ( (R) over bar (+) x X)/({0} x X) where Xis a smooth manifold and Omega subset of R-q an open set corresponding to a chart on Y. Compared with pseudo-differential algebras, based on other quantizations of edge-degenerate symbols, we extend the approach with Mellin representations on the r half-axis up to r = infinity, the conical exit of X-boolean AND = R+ x X (sic) (r, x) at infinity. The alternative description of the edge calculus is useful for pseudo-differential structures on manifolds with higher singularities.},
  language  = {en}
}
@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}
}