Journal article
Γ-convergence of a shearlet-based Ginzburg–Landau energy
- Abstract:
- We introduce two shearlet-based Ginzburg–Landau energies, based on the continuous and the discrete shearlet transform. The energies result from replacing the elastic energy term of a classical Ginzburg–Landau energy by the weighted -norm of a shearlet transform. The asymptotic behaviour of sequences of these energies is analysed within the framework of Γ-convergence and the limit energy is identified. We show that the limit energy of a characteristic function is an anisotropic surface integral over the interfaces of that function. We demonstrate that the anisotropy of the limit energy can be controlled by weighting the underlying shearlet transforms according to their directional parameter.
- Publication status:
- Published
- Peer review status:
- Reviewed (other)
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- Files:
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(Preview, Accepted manuscript, pdf, 492.7KB, Terms of use)
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- Publisher copy:
- 10.1016/j.acha.2020.06.004
Authors
- Publisher:
- Elsevier
- Host title:
- arXiv.org
- Journal:
- Applied and Computational Harmonic Analysis More from this journal
- Volume:
- 49
- Issue:
- 3
- Pages:
- 727-770
- Publication date:
- 2020-06-19
- Acceptance date:
- 2020-06-11
- DOI:
- EISSN:
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1096-603X
- ISSN:
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1063-5203
- Language:
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English
- Keywords:
- Pubs id:
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pubs:942186
- UUID:
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uuid:63ddfa6c-63e1-4c4b-875c-6acb277d6c27
- Local pid:
-
pubs:942186
- Source identifiers:
-
942186
- Deposit date:
-
2018-12-31
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2020
- Rights statement:
- © 2020 Elsevier Inc. All rights reserved.
- Notes:
- This is the accepted manuscript version of the article, available under the terms of a Creative Commons, Attribution, Non-Commercial, No Derivatives licence. The final version is available online from Elsevier at: https://doi.org/10.1016/j.acha.2020.06.004
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