Lower semicontinuity for an integral functional in BV
We prove a lower semicontinuity result for a functional of linear growth initially defined by ∫ΩF(dDu/dμ)dμ for u∈BV(Ω;ℝ^N) with Du≪μ. The positive Radon measure μ is only assumed to satisfy L^n≪μ.
| Main Authors: | , |
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| Format: | Journal article |
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Springer Verlag
2016
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| _version_ | 1797062112196952064 |
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| author | Kristensen, J Lahti, P |
| author_facet | Kristensen, J Lahti, P |
| author_sort | Kristensen, J |
| collection | OXFORD |
| description | We prove a lower semicontinuity result for a functional of linear growth initially defined by ∫ΩF(dDu/dμ)dμ for u∈BV(Ω;ℝ^N) with Du≪μ. The positive Radon measure μ is only assumed to satisfy L^n≪μ. |
| first_indexed | 2024-03-06T20:40:54Z |
| format | Journal article |
| id | oxford-uuid:343ebdf4-a54f-4e6d-aa92-aefbc95de675 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:40:54Z |
| publishDate | 2016 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:343ebdf4-a54f-4e6d-aa92-aefbc95de6752022-03-26T13:24:50ZLower semicontinuity for an integral functional in BVJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:343ebdf4-a54f-4e6d-aa92-aefbc95de675Symplectic Elements at OxfordSpringer Verlag2016Kristensen, JLahti, PWe prove a lower semicontinuity result for a functional of linear growth initially defined by ∫ΩF(dDu/dμ)dμ for u∈BV(Ω;ℝ^N) with Du≪μ. The positive Radon measure μ is only assumed to satisfy L^n≪μ. |
| spellingShingle | Kristensen, J Lahti, P Lower semicontinuity for an integral functional in BV |
| title | Lower semicontinuity for an integral functional in BV |
| title_full | Lower semicontinuity for an integral functional in BV |
| title_fullStr | Lower semicontinuity for an integral functional in BV |
| title_full_unstemmed | Lower semicontinuity for an integral functional in BV |
| title_short | Lower semicontinuity for an integral functional in BV |
| title_sort | lower semicontinuity for an integral functional in bv |
| work_keys_str_mv | AT kristensenj lowersemicontinuityforanintegralfunctionalinbv AT lahtip lowersemicontinuityforanintegralfunctionalinbv |