TY  - JOUR
A1  - Gil, Juan B.
A1  - Krainer, Thomas
A1  - Mendoza, Gerardo A.
T1  - Resolvents of elliptic cone operators
JF  - Journal of functional analysis
N2  - We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.
KW  - resolvents
KW  - manifolds with conical singularities
KW  - spectral theory
KW  - parametrices
KW  - boundary value problems
Y1  - 2006
U6  - https://doi.org/10.1016/j.jfa.2006.07.010
SN  - 0022-1236
VL  - 241
IS  - 1
SP  - 1
EP  - 55
PB  - Elsevier
CY  - San Diego
ER  - 
TY  - INPR
A1  - Harutyunyan, Gohar
A1  - Schulze, Bert-Wolfgang
T1  - Boundary value problems in weighted edge spaces
N2  - We study elliptic boundary value problems in a wedge with additional edge conditions of trace and potential type. We compute the (difference of the) number of such conditions in terms of the Fredholm index of the principal edge symbol. The task will be reduced to the case of special opening angles, together with a homotopy argument.
T3  - Preprint - (2006) 09 
KW  - Elliptic operators in domains with edges
KW  - boundary value problems
KW  - weighted edge spaces
Y1  - 2006
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30104
ER  -