most citedOle\uınik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit

1 citations · 1 across the 1 of their papers we have counts for

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2 papers

math.AP2024

Intermediate Domains for Scalar Conservation Laws

Fabio Ancona, Alberto Bressan, Elio Marconi +1

For a scalar conservation law with strictly convex flux, by Oleinik's estimates the total variation of a solution with initial data decay…

math.AP2023★ 1 cited

Ole\uınik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit

Giuseppe Maria Coclite, Maria Colombo, Gianluca Crippa +5

We consider a class of nonlocal conservation laws with exponential kernel and prove that quantities involving the nonlocal term $W:=\mathbb{1}_{(-\infty,0]}(\cdot)\exp(\cdot) \ast…