TY  - INPR
A1  - Krupchyk, K.
A1  - Tarkhanov, Nikolai Nikolaevich
A1  - Tuomela, J.
T1  - Elliptic quasicomplexes in Boutet de Monvel algebra
N2  - We consider quasicomplexes of Boutet de Monvel operators in Sobolev spaces on a smooth compact manifold with boundary. To each quasicomplex we associate two complexes of symbols. One complex is defined on the cotangent bundle of the manifold and the other on that of the boundary. The quasicomplex is elliptic if these symbol complexes are exact away from the zero sections. We prove that elliptic quasicomplexes are Fredholm. As a consequence of this result we deduce that a compatibility complex for an overdetermined elliptic boundary problem operator is also Fredholm. Moreover, we introduce the Euler characteristic for elliptic quasicomplexes of Boutet de Monvel operators.
T3  - Preprint - (2006) 12 
Y1  - 2009
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2846
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-30122
ER  -