Nonsmooth Pseudodifferential Boundary Value Problems on Manifolds

2017/09/13 by Helmut Abels, Abels, Helmut, Carolina Neira Jiménez +1
Mathematics · #35J55 #35S15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #math.AP #math.FA #msc:35J55 #msc:35S15

paper · pdf · doi:10.48550/arxiv.1709.04157

32 pages

arxiv created 2018/06/19 · arxiv updated 2018/06/20

Abstract

We study pseudodifferential boundary value problems in the context of the Boutet de Monvel calculus or Green operators, with nonsmooth coefficients on smooth compact manifolds with boundary. In order to have a definition that is independent of the choice of (smooth) coordinates, we prove that nonsmooth Green operators are invariant under smooth coordinate transformations.

Related

• Boutet de Monvel operators on singular manifolds
• Calculus for parametric boundary problems with global projection conditions
• Basics of the b-calculus
• Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities
• Global Functional calculus, lower/upper bounds and evolution equations on manifolds with boundary