The invertible double of elliptic operators

Bernhelm Booss-Bavnbek, Matthias Lesch, Chaofeng Zhu

Publikation: Bog/antologi/afhandling/rapportRapportForskning


We construct a canonical invertible double for general first order elliptic differential operators over smooth compact manifolds with boundary and derive a natural formula for the Calderon projector which yields a generalization of the famous Cobordism Theorem. Assuming symmetric principal symbol of the tangential operator and unique continuation property (UCP) from the boundary, we obtain the continuous dependence of the Calderon projection on the data. The details of our results are available on arxiv arXiv:0803.4160.
OriginalsprogEngelsk - Cornell University
Antal sider5
StatusUdgivet - 2008

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