Krein resolvent formulas for elliptic boundary problems in nonsmooth domains

Details Krein resolvent formulas for elliptic boundary problems in nonsmooth domains Krein resolvent formulas for elliptic boundary problems in nonsmooth domains

2008-10-15

arxiv.org/abs/0810.2741v1

Mathematics

Analysis of PDEs

28 pages. For the Rendiconti Torino volume in honor of Luigi Rodino

Scientific paper

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 $C^{1,1}$ H\"older smoothness, by use of a recently developed calculus of pseudodifferential boundary operators with nonsmooth symbols.

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