Guo, Cuihua; Ren, Hongping; Sun, Shulin The property of the solution about Cauchy problem for fourth-order Schrödinger equation with critical time-oscillating nonlinearity. (English) Zbl 1470.35329 Abstr. Appl. Anal. 2014, Article ID 181254, 14 p. (2014). MSC: 35Q55 35B05 35B10 PDFBibTeX XMLCite \textit{C. Guo} et al., Abstr. Appl. Anal. 2014, Article ID 181254, 14 p. (2014; Zbl 1470.35329) Full Text: DOI
Guo, Cuihua Global existence and asymptotic behavior of the Cauchy problem for fourth-order Schrödinger equations with combined power-type nonlinearities. (English) Zbl 1248.35194 J. Math. Anal. Appl. 392, No. 2, 111-122 (2012). MSC: 35Q55 35B40 35A01 46E35 PDFBibTeX XMLCite \textit{C. Guo}, J. Math. Anal. Appl. 392, No. 2, 111--122 (2012; Zbl 1248.35194) Full Text: DOI
Zhao, Xiangqing; Guo, Cuihua; Sheng, Wancheng; Wei, Xuemei Well-posedness of the fourth-order perturbed Schrödinger type equation in non-isotropic Sobolev spaces. (English) Zbl 1225.35225 J. Math. Anal. Appl. 382, No. 1, 97-109 (2011). MSC: 35Q55 35Q41 35B20 PDFBibTeX XMLCite \textit{X. Zhao} et al., J. Math. Anal. Appl. 382, No. 1, 97--109 (2011; Zbl 1225.35225) Full Text: DOI
Guo, Cuihua; Cui, Shangbin Well-posedness of the Cauchy problem of high dimension non-isotropic fourth-order Schrödinger equations in Sobolev spaces. (English) Zbl 1163.35484 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 10, 3761-3772 (2009). MSC: 35Q55 35B45 PDFBibTeX XMLCite \textit{C. Guo} and \textit{S. Cui}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 10, 3761--3772 (2009; Zbl 1163.35484) Full Text: DOI
Guo, Cuihua; Cui, Shangbin Solvability of the Cauchy problem of non-isotropic Schrödinger equations in Sobolev spaces. (English) Zbl 1148.35085 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 768-780 (2008). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q55 35D05 PDFBibTeX XMLCite \textit{C. Guo} and \textit{S. Cui}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 768--780 (2008; Zbl 1148.35085) Full Text: DOI
Guo, Cuihua; Cui, Shangbin Well-posedness of Cauchy problem of fourth-order Schrödinger equations in anisotropic Sobolev space. (English) Zbl 1125.35090 Appl. Math. Comput. 190, No. 1, 583-589 (2007). MSC: 35Q55 35A07 35G20 PDFBibTeX XMLCite \textit{C. Guo} and \textit{S. Cui}, Appl. Math. Comput. 190, No. 1, 583--589 (2007; Zbl 1125.35090) Full Text: DOI
Guo, Cuihua; Cui, Shangbin Global existence for 2D nonlinear Schrödinger equations via high — low frequency decomposition method. (English) Zbl 1104.35052 J. Math. Anal. Appl. 324, No. 2, 882-907 (2006). MSC: 35Q55 35A05 PDFBibTeX XMLCite \textit{C. Guo} and \textit{S. Cui}, J. Math. Anal. Appl. 324, No. 2, 882--907 (2006; Zbl 1104.35052) Full Text: DOI