Differential of metric valued Sobolev maps
- Gigli, Nicola SISSA, Trieste, Italy
- Pasqualetto, Enrico University of Jyväskylä, Jyväskylä, Finland
- Soultanis, Elefterios Mathematics Department, University of Fribourg, Switzerland
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13.11.2019
Published in:
- Journal of Functional Analysis. - 2020, vol. 278, no. 6, p. 108403
English
We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces, developed by the first author. We prove that our notion is consistent with Kirchheim's metric differential when the source is a Euclidean space, and with the abstract differential provided by the first author when the target is R. We also show compatibility with the concept of co-local weak differential introduced by Convent and Van Schaftingen.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 328204
- DOI 10.1016/j.jfa.2019.108403
- Persistent URL
- https://folia.unifr.ch/unifr/documents/308435
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