The invertible double of elliptic operators

Bernhelm Booss-Bavnbek; Matthias Lesch; Chaofeng Zhu

The invertible double of elliptic operators

Bernhelm Booss-Bavnbek, Matthias Lesch, Chaofeng Zhu

Matematik og Fysik (IMFUFA)

Publikation: Bog/antologi/afhandling/rapport › Rapport › Forskning

Abstract

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.

Originalsprog	Engelsk

Udgivelses sted	www.arxiv.org
Forlag	ArXiv.org - Cornell University
Antal sider	5
Status	Udgivet - 2008

Link til dokument

http://arXiv.org/abs/0803.4047

Citer dette

Booss-Bavnbek, B., Lesch, M., & Zhu, C. (2008). The invertible double of elliptic operators. ArXiv.org - Cornell University. http://arXiv.org/abs/0803.4047

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