Singular Green Operators of Finite Regularity in the Edge Algebra Formalism

2018/12/17 by Seiler, Joerg
#Analysis of PDEs (math.AP) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1812.07661

Abstract

We introduce a calculus for parameter-dependent singular Green operators on the half-space ℝⁿ₊ that combines both elements of Grubb's calculus for boundary value problems of finite regularity and techniques of Schulze's calculus for pseudodifferential operators on manifolds with edges.

Related

• Green Operators in the Edge Calculus
• Parameter-dependent Edge Operators
• Calculus for parametric boundary problems with global projection conditions
• A calculus of abstract edge pseudodifferential operators of type \varrho,δ
• Fundamental Solutions and Green's Functions for certain Elliptic Differential Operators from a Pseudo-Differential Algebra