arXiv Analytics

Sign in

arXiv:1709.06817 [math.AP]AbstractReferencesReviewsResources

Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities

Pedro T. P. Lopes, Elmar Schrohe

Published 2017-09-20Version 1

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.

Categories: math.AP, math.OA
Subjects: 58J32, 35J70, 47L15, 47A53
Related articles: Most relevant | Search more
arXiv:1410.7224 [math.AP] (Published 2014-10-24)
On the Fredholm property of bisingular pseudodifferential operators
arXiv:2311.07746 [math.AP] (Published 2023-11-13)
A Short Introduction to the Analysis on Manifolds with Conical Singularities
arXiv:1504.05101 [math.AP] (Published 2015-04-20)
Existence and maximal $L^{p}$-regularity of solutions for the porous medium equation on manifolds with conical singularities

Links

Toolbox