The invertible double of elliptic operators

Bernhelm Booss-Bavnbek, Matthias Lesch, Chaofeng Zhu

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

Resumé

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
Udgivelses stedwww.arxiv.org
ForlagArXiv.org - Cornell University
Antal sider5
StatusUdgivet - 2008

Citer dette

Booss-Bavnbek, B., Lesch, M., & Zhu, C. (2008). The invertible double of elliptic operators. www.arxiv.org: ArXiv.org - Cornell University.
Booss-Bavnbek, Bernhelm ; Lesch, Matthias ; Zhu, Chaofeng. / The invertible double of elliptic operators. www.arxiv.org : ArXiv.org - Cornell University, 2008. 5 s.
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Booss-Bavnbek, B, Lesch, M & Zhu, C 2008, The invertible double of elliptic operators. ArXiv.org - Cornell University, www.arxiv.org.

The invertible double of elliptic operators. / Booss-Bavnbek, Bernhelm; Lesch, Matthias; Zhu, Chaofeng.

www.arxiv.org : ArXiv.org - Cornell University, 2008. 5 s.

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

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AU - Lesch, Matthias

AU - Zhu, Chaofeng

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AB - 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.

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Booss-Bavnbek B, Lesch M, Zhu C. The invertible double of elliptic operators. www.arxiv.org: ArXiv.org - Cornell University, 2008. 5 s.

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