Krein resolvent formulas for elliptic boundary problems in nonsmooth domains

2008/10/15 by Grubb, Gerd · 1 citation
#35J25 #47A10 #58J40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.0810.2741

Abstract

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.

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• Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators

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