Chen, Gong; Pusateri, Fabio On the \(1d\) cubic NLS with a non-generic potential. (English) Zbl 07804753 Commun. Math. Phys. 405, No. 2, Paper No. 35, 59 p. (2024). MSC: 35Q55 35B40 35B34 35B65 42A38 35P30 PDFBibTeX XMLCite \textit{G. Chen} and \textit{F. Pusateri}, Commun. Math. Phys. 405, No. 2, Paper No. 35, 59 p. (2024; Zbl 07804753) Full Text: DOI arXiv
Kairzhan, Adilbek; Pusateri, Fabio Asymptotic stability near the soliton for quartic Klein-Gordon equation in 1D. (English) Zbl 07787347 Pure Appl. Anal. 5, No. 4, 795-832 (2023). MSC: 35B40 35C08 35L71 35P25 35Q55 42B37 43A32 PDFBibTeX XMLCite \textit{A. Kairzhan} and \textit{F. Pusateri}, Pure Appl. Anal. 5, No. 4, 795--832 (2023; Zbl 07787347) Full Text: DOI
Arbunich, J.; Faupin, J.; Pusateri, F.; Sigal, I. M. Maximal speed of quantum propagation for the Hartree equation. (English) Zbl 07713802 Commun. Partial Differ. Equations 48, No. 4, 542-575 (2023). MSC: 35Q55 35Q41 35Q40 81V73 81V70 35B65 37K10 35P10 PDFBibTeX XMLCite \textit{J. Arbunich} et al., Commun. Partial Differ. Equations 48, No. 4, 542--575 (2023; Zbl 07713802) Full Text: DOI arXiv
Germain, Pierre; Pusateri, Fabio; Zhang, Katherine Zhiyuan On 1d quadratic Klein-Gordon equations with a potential and symmetries. (English) Zbl 1508.35120 Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 17, 39 p. (2023). MSC: 35Q53 35B65 35J10 35P25 35L71 PDFBibTeX XMLCite \textit{P. Germain} et al., Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 17, 39 p. (2023; Zbl 1508.35120) Full Text: DOI arXiv
Léger, Tristan; Pusateri, Fabio Internal mode-induced growth in \(3d\) nonlinear Klein-Gordon equations. (English) Zbl 1511.35243 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 695-727 (2022). MSC: 35L71 35L15 35P25 35Q40 37K55 PDFBibTeX XMLCite \textit{T. Léger} and \textit{F. Pusateri}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 695--727 (2022; Zbl 1511.35243) Full Text: DOI arXiv
Chen, Gong; Pusateri, Fabio The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential. (English) Zbl 1498.35189 Anal. PDE 15, No. 4, 937-982 (2022). Reviewer: Gaetano Siciliano (São Paulo) MSC: 35J10 35P25 35Q55 PDFBibTeX XMLCite \textit{G. Chen} and \textit{F. Pusateri}, Anal. PDE 15, No. 4, 937--982 (2022; Zbl 1498.35189) Full Text: DOI arXiv
Germain, Pierre; Pusateri, Fabio Quadratic Klein-Gordon equations with a potential in one dimension. (English) Zbl 1495.35126 Forum Math. Pi 10, Paper No. e17, 172 p. (2022). MSC: 35L71 35P25 35Q56 42B37 PDFBibTeX XMLCite \textit{P. Germain} and \textit{F. Pusateri}, Forum Math. Pi 10, Paper No. e17, 172 p. (2022; Zbl 1495.35126) Full Text: DOI arXiv
Pusateri, Fabio; Sigal, Israel Michael Long-time behaviour of time-dependent density functional theory. (English) Zbl 1467.82112 Arch. Ration. Mech. Anal. 241, No. 1, 447-473 (2021). MSC: 82M36 35Q55 35B40 35B44 35C06 35B07 35B35 35P25 PDFBibTeX XMLCite \textit{F. Pusateri} and \textit{I. M. Sigal}, Arch. Ration. Mech. Anal. 241, No. 1, 447--473 (2021; Zbl 1467.82112) Full Text: DOI arXiv
Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. Maximal speed of quantum propagation. (English) Zbl 1475.35301 Lett. Math. Phys. 111, No. 3, Paper No. 62, 16 p. (2021). Reviewer: Mevludin Licina (Sarajevo) MSC: 35Q41 35Q40 35Q70 35P25 81U10 81U99 81P45 PDFBibTeX XMLCite \textit{J. Arbunich} et al., Lett. Math. Phys. 111, No. 3, Paper No. 62, 16 p. (2021; Zbl 1475.35301) Full Text: DOI arXiv
Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric The nonlinear Schrödinger equation with a potential. (English) Zbl 1406.35355 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477-1530 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B34 35P25 35B40 42A38 PDFBibTeX XMLCite \textit{P. Germain} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477--1530 (2018; Zbl 1406.35355) Full Text: DOI arXiv
Pusateri, Fabio; Murphy, Jason Almost global existence for cubic nonlinear Schrödinger equations in one space dimension. (English) Zbl 1360.35254 Discrete Contin. Dyn. Syst. 37, No. 4, 2077-2102 (2017). MSC: 35Q55 35A01 PDFBibTeX XMLCite \textit{F. Pusateri} and \textit{J. Murphy}, Discrete Contin. Dyn. Syst. 37, No. 4, 2077--2102 (2017; Zbl 1360.35254) Full Text: DOI arXiv
Ionescu, Alexandru D.; Pusateri, Fabio Global solutions for the gravity water waves system in 2d. (English) Zbl 1325.35151 Invent. Math. 199, No. 3, 653-804 (2015). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q31 76B15 35Q35 35R35 PDFBibTeX XMLCite \textit{A. D. Ionescu} and \textit{F. Pusateri}, Invent. Math. 199, No. 3, 653--804 (2015; Zbl 1325.35151) Full Text: DOI arXiv