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Apr 20, 2019 at 14:46 vote accept Riku
Apr 20, 2019 at 14:45 comment added Riku @PietroMajer I've asked my follow-up question as a separate post: mathoverflow.net/questions/328535/…
Apr 16, 2019 at 19:36 comment added Piotr Hajlasz @PietroMajer I deleted my answer to the Borsuk problem. I wrote it without thinking much (rushing to a lecture). As a result your comment has been deleted so you should post it as a comment to the question or as an answer.
Apr 15, 2019 at 20:33 comment added Riku Also, can this be made rigorous even when $f$ is a Sobolev or BV function?
Apr 15, 2019 at 17:46 comment added Riku Thank you. The answer to question 1 is clear. About question 2, I'm not quite sure about what the divergence in $\partial_t {\tilde\mu}_t + \operatorname{div\,} ({\tilde f} {\tilde\mu_t) }= 0$ really is. Could you write it out in terms of $f$ instead of $\tilde f$, please?
Apr 15, 2019 at 16:12 comment added Pietro Majer You're welcome. Is the answer clear to you? As to question 2, the evolution of $\tilde\mu_t$ is a particular case of the result for $\mu_t$. (As to the conjugation: it was not important, and didn't make it any clearer, I removed).
Apr 15, 2019 at 16:05 history edited Pietro Majer CC BY-SA 4.0
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Apr 15, 2019 at 15:27 comment added Riku Thank you. What do you mean by "conjugation" in this context?
Apr 15, 2019 at 13:43 history edited Pietro Majer CC BY-SA 4.0
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Apr 15, 2019 at 13:25 history answered Pietro Majer CC BY-SA 4.0