English

Elliptic theory of differential edge operators, II: boundary value problems

Analysis of PDEs 2015-06-15 v1

Abstract

This is a continuation of the first author's development of the theory of elliptic differential operators with edge degeneracies. That first paper treated basic mapping theory, focusing on semi-Fredholm properties on weighted Sobolev and H\"older spaces and regularity in the form of asymptotic expansions of solutions. The present paper builds on this through the formulation of boundary conditions and the construction of parametrices for the associated boundary problems. As before, the emphasis is on the geometric microlocal structure of the Schwartz kernels of parametrices and generalized inverses.

Keywords

Cite

@article{arxiv.1307.2266,
  title  = {Elliptic theory of differential edge operators, II: boundary value problems},
  author = {Rafe Mazzeo and Boris Vertman},
  journal= {arXiv preprint arXiv:1307.2266},
  year   = {2015}
}

Comments

45 pages, 3 figures

R2 v1 2026-06-22T00:47:50.129Z