Abstract
We consider a vector field whose coefficients are functions of bounded variation, with a bounded divergence. We prove the uniqueness of continuous solutions for the Cauchy problem.
Citation
Ferruccio Colombini. Nicolas Lerner. "Uniqueness of continuous solutions for BV vector fields." Duke Math. J. 111 (2) 357 - 384, 1 February 2002. https://doi.org/10.1215/S0012-7094-01-11126-5
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