Existence and uniqueness of solution for a generalized nonlinear derivative Schrödinger equation

Gleison do N. Santos

Type: Article

Publication Date: 2015-04-27

Citations: 20

DOI: https://doi.org/10.1016/j.jde.2015.03.023

View Publication

Locations

Journal of Differential Equations - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations	2018	Pierre-Yves Bienaimé A. Boulkhemair
+ PDF Chat	On a Class of Solutions to the Generalized Derivative Schrödinger Equations	2019	Felipe Linares Gustavo Ponce Gleison N. Santos
+	Global well-posedness for the derivative nonlinear Schrödinger equation	2020	Hajer Bahouri Galina Perelman
+	Well-posedness and scattering for a system of quadratic derivative nonlinear Schrödinger equations with low regularity initial data	2014	Hiroyuki Hirayama
+	On a class of solutions to the generalized derivative Schrödinger equations II	2019	Felipe Linares Gustavo Ponce Gleison N. Santos
+ PDF Chat	Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space	2013	Yi Wu
+	Persistence of solutions to the Derivative Nonlinear Schrödinger equation in weighted Sobolev spaces	2022	Alejandro J. Castro Khumoyun Jabbarkhanov
+	A Smoothing Property of Schrödinger Equations and a Global Existence Result for Derivative Nonlinear Equations	2005	Mitsuru Sugimoto Michael Ruzhansky
+	Global well-posedness for the derivative non-linear Schrödinger equation	2018	R. M. Jenkins Jiaqi Liu Peter Perry Catherine Sulem
+	Well-posedness and modified scattering for derivative nonlinear Schrödinger equations	2018	Donlapark Pornnopparath
+	Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space	2013	Yifei Wu
+ PDF Chat	Well-posedness for a generalized derivative nonlinear Schrödinger equation	2016	Masayuki Hayashi Tohru Ozawa
+	Global well-posedness for the derivative nonlinear Schrödinger equation	2022	Hajer Bahouri Galina Perelman
+	Global well-posedness and scattering for Derivative Schrödinger equation	2009	Baoxiang Wang Yuzhao Wang
+	Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations with low regularity periodic initial data	2013	Hiroyuki Hirayama
+ PDF Chat	Global Well-Posedness and Scattering for Derivative Schrödinger Equation	2011	Yuzhao Wang
+	Soliton resolution for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial data	2020	Zhiqiang Li Shou‐Fu Tian Jin‐Jie Yang
+ PDF Chat	Small data finite-time blow-up solutions for the nonlinear Schrödinger equation in general dimensions	2022	Shota Kawakami
+	On the Initial Value Problem for the One Dimensional Quasi-Linear Schrödinger Equations	2002	Wee Keong Lim Gustavo Ponce
+ PDF Chat	Sharp condition of global well-posedness for inhomogeneous nonlinear Schrödinger equation	2021	Chao Yang

Works That Cite This (19)

Action	Title	Year	Authors
+ PDF Chat	Instability of degenerate solitons for nonlinear Schrödinger equations with derivative	2022	Noriyoshi Fukaya Masayuki Hayashi
+ PDF Chat	On a Class of Solutions to the Generalized Derivative Schrödinger Equations	2019	Felipe Linares Gustavo Ponce Gleison N. Santos
+	On a class of solutions to the generalized derivative Schr\"odinger equations	2017	Felipe Linares Gustavo Ponce Gleison N. Santos
+	Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations	2020	Ruobing Bai Yifei Wu Jun Xue
+ PDF Chat	Construction of Multi-solitons for a Generalized Derivative Nonlinear Schrödinger Equation	2023	Phan van Tin
+ PDF Chat	Well-posedness for a generalized derivative nonlinear Schrödinger equation	2016	Masayuki Hayashi Tohru Ozawa
+ PDF Chat	Small data well-posedness for derivative nonlinear Schrödinger equations	2018	Donlapark Pornnopparath
+	On a class of solutions to the generalized derivative Schrödinger equations II	2019	Felipe Linares Gustavo Ponce Gleison N. Santos
+	Stability of the sum of two solitary waves for (gDNLS) in the energy space	2017	Xingdong Tang Guixiang Xu
+ PDF Chat	Orbital Stability of Solitary Waves for Generalized Derivative Nonlinear Schrödinger Equations in the Endpoint Case	2018	Qing Guo

Works Cited by This (27)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Fourier Analysis and Partial Differential Equations	2001	Rafael José Iório Valéria de Magalhães Iorio
+	Introduction to Nonlinear Dispersive Equations	2009	Felipe Linares Gustavo Ponce
+ PDF Chat	Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations	2001	H. A. Biagioni Felipe Linares
+	The initial value problem for the derivative nonlinear Schrödinger equation in the energy space	1993	Nakao Hayashi
+	On a class of nonlinear Schrödinger equations. II. Scattering theory, general case	1979	J. Ginibre G. Velo
+	On the derivative nonlinear Schrödinger equation	1992	Nakao Hayashi Tohru Ozawa
+	Well-posedness results for the generalized Benjamin–Ono equation with small initial data	2003	Luc Molinet Francis Ribaud
+ PDF Chat	A strong type (2,2) estimate for a maximal operator associated to the Schrödinger equation	1983	Carlos E. Kenig Alberto Ruiz
+ PDF Chat	Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity	1999	Hideo Takaoka