Consider a function u∈ BV loc 2(R2) such that ∇u takes values in a fixed set of three vectors almost everywhere. This condition implies that u is piecewise affine away from a closed set of vanishing one‐dimensional Hausdorff measure. Furthermor...
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https://www.riss.kr/link?id=O119875803
2018년
-
0024-6115
1460-244X
SCI;SCIE;SCOPUS
학술저널
813-846 [※수록면이 p5 이하이면, Review, Columns, Editor's Note, Abstract 등일 경우가 있습니다.]
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
Consider a function u∈ BV loc 2(R2) such that ∇u takes values in a fixed set of three vectors almost everywhere. This condition implies that u is piecewise affine away from a closed set of vanishing one‐dimensional Hausdorff measure. Furthermor...
Consider a function u∈ BV loc 2(R2) such that ∇u takes values in a fixed set of three vectors almost everywhere. This condition implies that u is piecewise affine away from a closed set of vanishing one‐dimensional Hausdorff measure. Furthermore, there is some rigidity in the sense that away from the exceptional set, small perturbations of u will result only in controllable changes of the structure.
Some quartic curves with no points in any cubic field
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