The Friedrichs extension for elliptic wedge operators of second order

TL;DR

This paper explicitly characterizes the domain of the Friedrichs extension for second order elliptic wedge operators, enhancing understanding of their boundary behavior under mild assumptions on indicial and normal families.

Contribution

It provides a detailed, explicit description of the Friedrichs extension domain for second order elliptic wedge operators, which was previously not well-understood.

Findings

Explicit domain description for Friedrichs extension

Conditions on indicial and normal families clarified

Improved understanding of boundary behavior of elliptic wedge operators

Abstract

The paper provides an explicit description of the structure of the domain of the Friedrichs extension of a second order semibounded elliptic wedge operator, initially defined on smooth functions or sections with compact support away from the boundary, under some mild assumptions on the indicial and normal families.