In the paper http://cvgmt.sns.it/paper/436/, the author proves the renormalization property for the flow generated by a vector field $a(t,\cdot) \in BV(\mathbb{R}^N; \mathbb{R}^N)$.

Heuristically, what is the role of one of the key assumptions of the paper: that $\mathrm{div}\, a$ is absolutely continuous with respect to the Lebesgue measure?

Note. A related question is asked in the post BV function with absolutely continuous divergence


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.