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math.AP2022
Entropy dissipation estimates for the Boltzmann equation without cut-off
Jamil Chaker, Luis Silvestre
We prove a bound on the entropy dissipation for the Boltzmann collision operator from below by a weighted -Norm. The estimate holds for a wide range of potentials including so…
math.AP2022★ 28 cited
Harnack inequality for nonlocal problems with non-standard growth
Jamil Chaker, Minhyun Kim, Marvin Weidner
We prove a full Harnack inequality for local minimizers, as well as weak solutions to nonlocal problems with non-standard growth. The main auxiliary results are local boundedness a…