Global existence of solutions for a fourth-order nonlinear Schrödinger equation in dimensions

Cuihua Guo

Type: Article

Publication Date: 2010-04-12

Citations: 11

DOI: https://doi.org/10.1016/j.na.2010.03.052

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Nonlinear Analysis - View

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+	The initial-boundary value problem for the biharmonic Schr\"odinger equation on the half-line	2018	Türker Özsarı Nermin Yolcu
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+	Global existence for semilinear Schrödinger equations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>dimensions	2007	Hua Wang Shangbin Cui
+	Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces and applications	2006	Shangbin Cui Cuihua Guo
+	Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion	2000	V. I. Karpman A. G. Shagalov
+ PDF Chat	Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case	2007	Benoît Pausader
+	Dispersion estimates for fourth order Schrödinger equations	2000	Matania Ben–Artzi Herbert Koch Jean‐Claude Saut
+ PDF Chat	Multilinear estimates for periodic KdV equations, and applications	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case	2008	Changxing Miao Guixiang Xu Lifeng Zhao
+	Global existence of solutions for a fourth-order nonlinear Schrödinger equation	2006	Cuihua Guo Shangbin Cui
+	Self-Focusing with Fourth-Order Dispersion	2002	Boaz Ilan Gadi Fibich George Papanicolaou
+ PDF Chat	Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ<sup>3</sup>	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao