Remarks on nonlinear Schrödinger equations in one space dimension

Nakao Hayashi, Tohru Ozawa

Type: Article

Publication Date: 1994-01-01

Citations: 103

DOI: https://doi.org/10.57262/die/1369330439

View Publication

Download PDF

Abstract

We consider the initial value problem for nonlinear Schodinger equations, { iatu + ~a2 u = F(u, au, u, au), u(O,:z:)=uo

Locations

Differential and Integral Equations - View - PDF

Similar Works

Action	Title	Year	Authors
+	Remarks on nonlinear Schrdinger equations in one space dimension	1992	Nakao Hayashi Tohru Ozawa
+	On solutions of the initial value problem for the nonlinear Schr�dinger equations in one space dimension	1986	Nakao Hayashi Kuniaki Nakamitsu Masayoshi Tsutsumi
+	Remarks on the Scattering problem for nonlinear Schrödinger equations	1987	Nakao Hayashi Yoshio Tsutsumi
+	Remarks on some systems of nonlinear Schrödinger equations	2007	Antonio Ambrosetti
+	Remarks on the Scattering Result of Nonlinear Schr(o\|¨)dinger Equations	2006	苑佳
+	Remarks on the Scattering Result of Nonlinear Schrodinger Equations	2006	Jia Yuan
+	Remarks on the nonlinear Schrodinger equations in plasma	1997	Boling Guo Yonghui Wu
+	The initial value problem for nonlinear Schrödinger equations with a dissipative nonlinearity in one space dimension	2016	Jin Guang-zhi Yuanfeng Jin Chunhua Li
+	On Some Nonlinear Schrödinger Equations	1981	H. Lange
+	Some results on a class of nonlinear Schrodinger equations	2000	Massimo Grossi
+	Remarks on the Scattering Result of Nonlinear Schroedinger Equations	2006	苑佳
+	Remarks on scattering for nonlinear Schrödinger equations	2002	Kenji Nakanishi Tohru Ozawa
+	ON INITIAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR SCHRÖDINGER EQUATIONS	1996	Yongsheng Li Qingyi Chen
+	Remarks on the semilinear Schrödinger equation	2012	Tarek Saanouni
+	Some aspects on the Schrödinger equation	2012	Azhar Iqbal
+	On solutions of the initial value problem for the nonlinear Schrödinger equations	1987	Nakao Hayashi Kuniaki Nakamitsu Masayoshi Tsutsumi
+ PDF Chat	On some Schrödinger type equations	1981	Sigeru Mizohata
+	On the solution to nonlinear Schrodinger equation with superposed $\delta$-function as initial data (On Nonlinear Wave and Dispersive Equations)	2004	Naoyasu Kita 北直泰
+	On smooth solutions to the initial-boundary value problem for the nonlinear schrödinger equation in two space dimensions	1989	Masayoshi Tsutsumi
+	The initial value problem for a nonlinear Schrödinger equation	1991	Guangchang Dong

Works That Cite This (97)

Action	Title	Year	Authors
+ PDF Chat	Global Well-Posedness for Schrödinger Equations with Derivative	2001	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao
+	The Benjamin—Ono equation in energy space	2006	Nicolas Burq Fabrice Planchon
+	GLOBAL INHOMOGENEOUS SCHRÖDINGER FLOW	2000	Hongyu Wang Youde Wang
+	GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+ PDF Chat	The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension	2016	Yuji Sagawa Hideaki Sunagawa
+	Parabolic smoothing effect and local well-posedness of fifth order semilinear dispersive equations on the torus	2017	Kotaro Tsugawa
+	The Cauchy problem for quasi-linear Schr�dinger equations	2004	Carlos E. Kenig Gustavo Ponce Luis Vega
+ PDF Chat	Large Time Behavior for the Cubic Nonlinear Schrödinger Equation	2002	Nakao Hayashi Pavel I. Naumkin
+	Sharp asymptotic behavior of solutions to Benjamin-Ono type equations—short range case	2021	Naoyasu Kita Takeshi Wada
+ PDF Chat	Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus	2022	Tristan Roy

Works Cited by This (2)

Action	Title	Year	Authors
+	Long-time behavior of solutions to nonlinear evolution equations	1982	Sergiù Klainerman
+	Global, small amplitude solutions to nonlinear evolution equations	1983	Sergiù Klainerman Gustavo Ponce