Duan, Renjun; Sakamoto, Shota; Ueda, Yoshihiro An \(L^1_k\cap L^p_k\) approach for the non-cutoff Boltzmann equation in \(\mathbb{R}^3\). (English) Zbl 07802036 SIAM J. Math. Anal. 56, No. 1, 762-800 (2024). MSC: 35Q20 35B65 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{R. Duan} et al., SIAM J. Math. Anal. 56, No. 1, 762--800 (2024; Zbl 07802036) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian; Sakamoto, Shota; Strain, Robert M. Global mild solutions of the Landau and non-cutoff Boltzmann equations. (English) Zbl 1476.35161 Commun. Pure Appl. Math. 74, No. 5, 932-1020 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q20 35Q82 35B65 35A01 35A02 82C22 82C40 PDFBibTeX XMLCite \textit{R. Duan} et al., Commun. Pure Appl. Math. 74, No. 5, 932--1020 (2021; Zbl 1476.35161) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian; Sakamoto, Shota; Strain, Robert M. Global solutions to the Boltzmann equation without angular cutoff and the Landau equation with Coulomb potential. (English) Zbl 1455.35166 RIMS Kôkyûroku Bessatsu B82, 29-46 (2020). MSC: 35Q20 82D10 82C40 35A01 PDFBibTeX XMLCite \textit{R. Duan} et al., RIMS Kôkyûroku Bessatsu B82, 29--46 (2020; Zbl 1455.35166) Full Text: Link
Duan, Renjun; Sakamoto, Shota Solution to the Boltzmann equation in velocity-weighted Chemin-Lerner type spaces. (English) Zbl 1405.35127 Kinet. Relat. Models 11, No. 6, 1301-1331 (2018). MSC: 35Q20 76P05 82B40 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Sakamoto}, Kinet. Relat. Models 11, No. 6, 1301--1331 (2018; Zbl 1405.35127) Full Text: DOI arXiv