Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities
Analysis of PDEs
2017-09-21 v1 Operator Algebras
Abstract
We prove the spectral invariance of the algebra of classical pseudodifferential boundary value problems on manifolds with conical singularities in the Lp-setting. As a consequence we also obtain the spectral invariance of the classical Boutet de Monvel algebra of zero order operators with parameters. In order to establish these results, we show the equivalence of Fredholm property and ellipticity for both cases.
Keywords
Cite
@article{arxiv.1709.06817,
title = {Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities},
author = {Pedro T. P. Lopes and Elmar Schrohe},
journal= {arXiv preprint arXiv:1709.06817},
year = {2017}
}