Local-In-Time Strong Solutions of the Homogeneous Landau–Coulomb Equation with $$L^p$$ Initial Datum

Author:

Golding WilliamORCID,Loher Amélie

Funder

Division of Mathematical Sciences

Newnham College, University of Cambridge

Publisher

Springer Science and Business Media LLC

Reference29 articles.

1. Alexandre, R., Liao, J., Lin, C.: Some a priori estimates for the homogeneous Landau equation with soft potentials. Kinet. Relat. Models 4(8), 617–650 (2015)

2. Alonso, R., Bagland, V., Desvillettes, L., Lods, B.: About the Landau-Fermi-Dirac equation with moderately soft potentials. Arch. Ration. Mech. Anal. 244(3), 779–875 (2022)

3. Alonso, R., Bagland, V., Desvillettes, L., Lods, B.: Solutions to Landau equation under Prodi-Serrin’s like criteria. arxiv:2306.15729, (2023)

4. Arsenev, A.A., Peskov, N.V.: On the existence of a generalized solution to Landau’s equation. Zh. Vychisl. Mat. Mat. Fiz. 17, 1063–1068 (1977)

5. Bedrossian, J., Gualdani, M., Snelson, S.: Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations. Trans. Am. Mat. Soc. 375(3), 2187–2216 (2022)

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1. A Priori Estimates for Solutions to Landau Equation Under Prodi–Serrin Like Criteria;Archive for Rational Mechanics and Analysis;2024-05-13

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