Rectifiability of entropy defect measures in a micromagnetics model
نویسندگان
چکیده
We study the fine properties of a class weak solutions $u$ eikonal equation arising as asymptotic domain family energy functionals introduced in (Rivi\`ere T, Serfaty S. Limiting wall for problem related to micromagnetics. Comm Pure Appl Math 2001; 54(3):294-338). In particular we prove that entropy defect measure associated is concentrated on 1-rectifiable set, which detects jump-type discontinuities $u$.
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ژورنال
عنوان ژورنال: Advances in Calculus of Variations
سال: 2021
ISSN: ['1864-8258', '1864-8266']
DOI: https://doi.org/10.1515/acv-2021-0012