Coclite GM, De Nitti N, Keimer A, Pflug L (2022)
Publication Type: Journal article
Publication year: 2022
Book Volume: 73
Article Number: 241
Journal Issue: 6
DOI: 10.1007/s00033-022-01766-0
In this note, we extend the known results on the existence and uniqueness of weak solutions to conservation laws with nonlocal flux. In case the nonlocal term is given by a convolution γ∗ q, we weaken the standard assumption on the kernel γ∈ L∞((0 , T) ; W1,∞(R)) to the substantially more general condition γ∈ L∞((0 , T) ; BV(R)) , which allows for discontinuities in the kernel.
APA:
Coclite, G.M., De Nitti, N., Keimer, A., & Pflug, L. (2022). On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels. Zeitschrift für Angewandte Mathematik und Physik, 73(6). https://doi.org/10.1007/s00033-022-01766-0
MLA:
Coclite, Giuseppe Maria, et al. "On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels." Zeitschrift für Angewandte Mathematik und Physik 73.6 (2022).
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