Timeline for Existence of a curve of finite length on the image of an embedding which is Sobolev
Current License: CC BY-SA 4.0
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Sep 29, 2023 at 6:12 | comment | added | Mad Max | Could you elaborate a bit on why the integral $\int_0^1|\nabla f(\gamma_t(s))|ds$ shows that the length of $\gamma_t$ is finite? We do not know that $f$ is absolutely continuous on $\gamma_t$ so how is that integral related to the length? | |
Sep 28, 2023 at 21:33 | history | answered | Martin Hairer | CC BY-SA 4.0 |