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

2017/09/20 by Pedro T. P. Lopes, Lopes, Pedro T. P., Elmar Schrohe +1
Mathematics · #35J70 #47A53 #47L15 #58J32 #Advanced Topics in Algebra #Analysis of PDEs (math.AP) #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1709.06817

openalex publication_date 2017/09/20 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We prove the spectral invariance of the algebra of classical\npseudodifferential boundary value problems on manifolds with conical\nsingularities in the Lp-setting. As a consequence we also obtain the spectral\ninvariance of the classical Boutet de Monvel algebra of zero order operators\nwith parameters. In order to establish these results, we show the equivalence\nof Fredholm property and ellipticity for both cases.\n

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