Journal article
On a counter-example to quantitative Jacobian bounds
- Abstract:
- This note provides a counter-example to the local positivity of the Jacobian determinant for solutions of the conductivity equation in dimension 3. It shows that the sign of the determinant cannot be imposed by an a priori choice of boundary data in H1/2(∂Ω) depending only on the upper and lower bound of the conductivity, even locally. The argument uses a scalar two-phase conductivity constructed by Briane, Milton & Nesi [11, 10].
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 846.3KB, Terms of use)
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- Publisher copy:
- 10.5802/jep.21
Authors
- Publisher:
- École Polytechnique
- Journal:
- Journal de l’École polytechnique — Mathématiques More from this journal
- Volume:
- 2
- Pages:
- 171-178
- Publication date:
- 2015-08-25
- Acceptance date:
- 2015-07-16
- DOI:
- EISSN:
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2270-518X
- ISSN:
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2429-7100
- Language:
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English
- Keywords:
- Pubs id:
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pubs:571848
- UUID:
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uuid:5c90f5dd-453f-4d50-8c1b-95d5d6bf8758
- Local pid:
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pubs:571848
- Source identifiers:
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571848
- Deposit date:
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2015-10-30
Terms of use
- Copyright holder:
- Capdeboscq, Y
- Copyright date:
- 2015
- Rights statement:
- Copyright © 2015 Yves Capdeboscq. Certains droits réservés. Cet article est mis à disposition selon les termes de la licence Creative Commons Attribution - Pas de Modification 3.0 France. http://creativecommons.org/licenses/by-nd/3.0/fr/
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