Boutet de Monvel operators on singular manifolds

2015/05/28 by Bohlen, Karsten
#58B34 #58J32 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1505.07882

Abstract

We construct a Boutet de Monvel calculus for general pseudodifferential boundary value problems defined on a broad class of non-compact manifolds, the class of so-called Lie manifolds with boundary. It is known that this class of non-compact manifolds can be used to model many classes of singular manifolds.

Related

• Nonsmooth Pseudodifferential Boundary Value Problems on Manifolds
• Singular integral operators on non-compact manifolds and analysis on polyhedral domains
• Calculus for parametric boundary problems with global projection conditions
• Basics of the b-calculus
• Spectral Invariance of Pseudodifferential Boundary Value Problems on\n Manifolds with Conical Singularities