Timeline for Concrete example of BV function $u:\mathbb{R}^2 \to \mathbb{R}$ with singular derivative
Current License: CC BY-SA 4.0
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| Apr 25, 2019 at 0:29 | comment | added | Riku | Or is it fair to say that if $u:\mathbb R^2 \to \mathbb R$ is a BV function then $D^{cantor}u$ must be concentrated on a $1$-dimensional Cantor set? | |
| Apr 23, 2019 at 21:18 | comment | added | Riku | Thank you. In your example you took $g(x_1,x_2) = f(x_1)$ and $f$ the Cantor staircase function. However, I'd like to see a "genuinely" two-dimensional example. Is it possible to build a Cantor like function in 2d? | |
| Apr 23, 2019 at 21:15 | history | answered | Bazin | CC BY-SA 4.0 |