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Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities
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SYSNO ASEP 0575874 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities Author(s) Krömer, Stefan (UTIA-B) ORCID
Kružík, Martin (UTIA-B) RID, ORCID
Zappale, E. (IT)Number of authors 3 Source Title Advances in Calculus of Variations - ISSN 1864-8258
Roč. 16, č. 4 (2023), s. 835-865Number of pages 31 s. Publication form Print - P Language eng - English Country DE - Germany Keywords Lower semicontinuity ; nonreflexive spaces ; relaxation ; concentration effects Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GF19-29646L GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support UTIA-B - RVO:67985556 UT WOS 000739284900001 EID SCOPUS 85122609987 DOI https://doi.org/10.1515/acv-2021-0063 Annotation For an integral functional defined on functions (u, v) ∈ W1,1 × L1 featuring a prototypical strong interaction term between u and v, we calculate its relaxation in the space of functions with bounded variations and Radon measures. Interplay between measures and discontinuities bring various additional difficulties, and concentration effects in recovery sequences play a major role for the relaxed functional even if the limit measures are absolutely continuous with respect to the Lebesgue one. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2024 Electronic address https://www.degruyter.com/document/doi/10.1515/acv-2021-0063/html
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