Modified wave operators for the fourth‐order non‐linear Schrödinger‐type equation with cubic non‐linearity

Jun‐ichi Segata

Type: Article

Publication Date: 2006-05-19

Citations: 47

DOI: https://doi.org/10.1002/mma.751

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Mathematical Methods in the Applied Sciences - View

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+	Periodic fourth-order cubic NLS: Local well-posedness and non-squeezing property	2018	Chulkwang Kwak
+	Global Well-Posedness and Scattering for Fourth-Order Schrödinger Equations on Waveguide Manifolds	2024	Xueying Yu Haitian Yue Zehua Zhao
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Works Cited by This (17)

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+	The analysis of linear partial differential operators	1990	Lars Hörmander
+ PDF Chat	Remark on well-posedness for the fourth order nonlinear Schrödinger type equation	2004	Jun-ichi Segata
+	Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations	1998	Nakao Hayashi Pavel I. Naumkin
+	Long range scattering for non-linear Schrödinger and Hartree equations in space dimensionn≥2	1993	J. Ginibre Tohru Ozawa
+ PDF Chat	The asymptotic behavior of nonlinear Schrödinger equations	1984	Yoshio Tsutsumi Kenji Yajima
+	On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case	1979	J. Ginibre G. Velo
+	Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation	1984	Jacqueline E. Barab
+	Dispersion estimates for fourth order Schrödinger equations	2000	Matania Ben–Artzi Herbert Koch Jean‐Claude Saut
+ PDF Chat	Long range scattering for nonlinear Schrödinger equations in one space dimension	1991	Tohru Ozawa
+	Decay and scattering of solutions of a nonlinear Schrödinger equation	1978	Jeng-Eng Lin Walter A. Strauss