Seong, Kihoon Well-posedness and ill-posedness for the fourth order cubic nonlinear Schrödinger equation in negative Sobolev spaces. (English) Zbl 1480.35361 J. Math. Anal. Appl. 504, No. 1, Article ID 125342, 41 p. (2021). MSC: 35Q55 35A01 35A02 35R25 35B65 37K10 PDFBibTeX XMLCite \textit{K. Seong}, J. Math. Anal. Appl. 504, No. 1, Article ID 125342, 41 p. (2021; Zbl 1480.35361) Full Text: DOI arXiv
Kishimoto, Nobu; Shan, Minjie; Tsutsumi, Yoshio Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili II equation in the anisotropic Sobolev space. (English) Zbl 1435.35335 Discrete Contin. Dyn. Syst. 40, No. 3, 1283-1307 (2020). MSC: 35Q53 35A01 35B41 35B45 35B40 37K10 PDFBibTeX XMLCite \textit{N. Kishimoto} et al., Discrete Contin. Dyn. Syst. 40, No. 3, 1283--1307 (2020; Zbl 1435.35335) Full Text: DOI
Hong, Sunghyun; Kwak, Chulkwang Global well-posedness and nonsqueezing property for the higher-order KdV-type flow. (English) Zbl 1339.35269 J. Math. Anal. Appl. 441, No. 1, 140-166 (2016). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{S. Hong} and \textit{C. Kwak}, J. Math. Anal. Appl. 441, No. 1, 140--166 (2016; Zbl 1339.35269) Full Text: DOI arXiv
Alejo, Miguel A. On the ill-posedness of the Gardner equation. (English) Zbl 1256.35197 J. Math. Anal. Appl. 396, No. 1, 256-260 (2012). Reviewer: Raymond Johnson (Houston) MSC: 35R25 35Q53 35B30 35C08 35Q51 PDFBibTeX XMLCite \textit{M. A. Alejo}, J. Math. Anal. Appl. 396, No. 1, 256--260 (2012; Zbl 1256.35197) Full Text: DOI
Farah, Luiz G.; Wang, Hongwei Global solutions in lower order Sobolev spaces for the generalized Boussinesq equation. (English) Zbl 1239.35123 Electron. J. Differ. Equ. 2012, Paper No. 41, 13 p. (2012). MSC: 35Q35 35A25 46E35 PDFBibTeX XMLCite \textit{L. G. Farah} and \textit{H. Wang}, Electron. J. Differ. Equ. 2012, Paper No. 41, 13 p. (2012; Zbl 1239.35123) Full Text: EMIS
Sohinger, Vedran Bounds on the growth of high Sobolev norms of solutions to nonlinear Schrödinger equations on \(S^1\). (English) Zbl 1249.35310 Differ. Integral Equ. 24, No. 7-8, 653-718 (2011). MSC: 35Q55 PDFBibTeX XMLCite \textit{V. Sohinger}, Differ. Integral Equ. 24, No. 7--8, 653--718 (2011; Zbl 1249.35310) Full Text: arXiv
Chen, Wengu; Guo, Zihua Global well-posedness and I method for the fifth order Korteweg-de Vries equation. (English) Zbl 1238.35127 J. Anal. Math. 114, 121-156 (2011). MSC: 35Q53 35A01 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Z. Guo}, J. Anal. Math. 114, 121--156 (2011; Zbl 1238.35127) Full Text: DOI arXiv