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Articles

Singular degenerate operators

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Pages 2434-2456 | Received 13 Feb 2017, Accepted 05 Mar 2017, Published online: 12 Jun 2017
 

Abstract

We outline some simplified and more general method for constructing parametrices on higher singular spaces. We also outline basic ideas on operators on manifolds with conical or edge singularities.

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Acknowledgements

The paper is based on lectures which were given by the authors during the 2017 International Workshop on Applied Analysis and Optimization that was held from May 26 to May 28 at China Medical University. The first and the third author would like to express their profound gratitude to Professor Jen-Chih Yao for his invitation and for the warm hospitality extended to them during their stay in Taiwan.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The first author is partially supported by an NSF [grant number DMS-1408839] and a McDevitt Endowment Fund at Georgetown University. The second author is supported by Richard-Winter-Stiftung, Stuttgart, Germany.

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