Krein resolvent formulas for elliptic boundary problems in nonsmooth domains
Abstract
Description
The paper reports on a recent construction of M-functions and Krein resolvent formulas for general closed extensions of an adjoint pair, and their implementation to boundary value problems for second-order strongly elliptic operators on smooth domains. The results are then extended to domains with $C^{1,1}$ Hölder smoothness, by use of a recently developed calculus of pseudodifferential boundary operators with nonsmooth symbols.
28 pages. For the Rendiconti Torino volume in honor of Luigi Rodino
28 pages. For the Rendiconti Torino volume in honor of Luigi Rodino