@article{8dd55e0432cb4b76b2cd174f6c9078e4,
title = "Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions",
abstract = "We are concerned with the uniqueness of weak solution to the spatially homogeneous Landau equation with Coulomb interactions under the assumption that the solution is bounded in the space L∞(0, T, Lp(R3)) for some p > 3/2. The proof uses a weighted Poincar{\'e}-Sobolev inequality recently introduced in [11].",
author = "Chern, {Jann Long} and Maria Gualdani",
note = "Funding Information: JLC is supported by NSTC 110-2115-M-003-019-MY3 and NSTC 111-2218-E-008-004-MBK. MPG is supported by NSF DMS-2019335. JLC and MPG would like to thank KTH Royal Institute of Technology and then NCTS Mathematics Division Taipei for their kind hospitality. JLC is supported by NSTC 110-2115-M-003-019-MY3 and NSTC 111-2218-E-008-004-MBK. MPG is supported by NSF DMS-2019335. JLC and MPG would like to thank KTH Royal Institute of Technology and then NCTS Mathematics Division Taipei for their kind hospitality. We would like to express our thanks to the referee for his/her careful reading and valuable comments for this paper. Funding Information: JLC is supported by NSTC 110-2115-M-003-019-MY3 and NSTC 111-2218-E-008-004-MBK. MPG is supported by NSF DMS-2019335. JLC and MPG would like to thank KTH Royal Institute of Technology and then NCTS Mathematics Division Taipei for their kind hospitality. Publisher Copyright: {\textcopyright} 2022 International Press of Boston, Inc.. All rights reserved.",
year = "2022",
doi = "10.4310/MRL.2022.V29.N4.A2",
language = "English",
volume = "29",
pages = "945--960",
journal = "Mathematical Research Letters",
issn = "1073-2780",
publisher = "International Press of Boston, Inc.",
number = "4",
}