Dynamics on Grassmannians and resolvents of cone operators

Details Dynamics on Grassmannians and resolvents of cone operators Dynamics on Grassmannians and resolvents of cone operators

2009-06-30

arxiv.org/abs/0907.0023v1

Mathematics

Analysis of PDEs

34 pages

Scientific paper

The paper proves the existence and elucidates the structure of the asymptotic expansion of the trace of the resolvent of a closed extension of a general elliptic cone operator on a compact manifold with boundary as the spectral parameter tends to infinity. The hypotheses involve only minimal conditions on the symbols of the operator. The results combine previous investigations by the authors on the subject with an analysis of the asymptotics of a family of projections related to the domain. This entails a fairly detailed study of the dynamics of a flow on the Grassmannian of domains.

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