New dimensional bounds for a branched transport problem
New dimensional bounds for a branched transport problem
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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We consider a branched transport problem with weakly imposed boundary conditions. This problem arises as a reduced model for pattern formation in type-I superconductors. For this model, it is conjectured that the dimension of the boundary measure is non-integer. We prove this conjecture in a simplified 2D setting, under the (strong) assumption of A...
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New dimensional bounds for a branched transport problem
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TN_cdi_proquest_journals_3132695773
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_3132695773
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2331-8422