Nonlinear Schrödinger Equations in the Sobolev Space of Critical Order

Type: Article

Publication Date: 1998-06-01

Citations: 97

DOI: https://doi.org/10.1006/jfan.1997.3236

Locations

  • Journal of Functional Analysis - View

Similar Works

Action Title Year Authors
+ Low Energy Scattering for Nonlinear Schrödinger Equations in Fractional Order Sobolev Spaces 1997 Makoto Nakamura
Tohru Ozawa
+ Nonlinear Schrdinger equations in the Sobolev space of critical order 1997 Makoto Nakamura
Tohru Ozawa
+ PDF Chat On the $L^2$-critical nonlinear Schrödinger Equation with a nonlinear damping 2014 Mohamad Darwich
+ PDF Chat Global well-posedness of critical nonlinear Schrödinger equations below $L^2$ 2012 Yonggeun Cho
Gyeongha Hwang
Tohru Ozawa
+ On the $L^{2}$-critical nonlinear Schrödinger Equation with a nonlinear damping 2012 Mohamad Darwich
+ PDF Chat On the $L^{2}$-critical nonlinear Schrödinger Equation with a nonlinear damping. 2013 Mohamad Darwich
+ PDF Chat Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations 2020 Xing Cheng
+ PDF Chat Critical nonlinear Schrödinger equations in higher space dimensions 2018 Nakao Hayashi
Chunhua Li
Pavel I. Naumkin
+ PDF Chat Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the L<sup>2</sup>-critical case 2014 Simão Correia
+ Scattering in H1 for the intercritical NLS with an inverse-square potential 2017 Jing Lu
Changxing Miao
Jason Murphy
+ Existence of solution for a supercritical nonlinear Schrödinger equation 2021 Luiz F. O. Faria
Marcelo Montenegro
+ The Defocusing Energy-Supercritical Nonlinear Schrödinger Equation in High Dimensions 2022 J. Li
Kuijie Li
+ Global existence for a coupled system of Schrödinger equations with power-type nonlinearities 2013 Nghiem V. Nguyen
Rushun Tian
Bernard Deconinck
Natalie E. Sheils
+ PDF Chat The Cauchy problem for nonlinear Schrödinger equation (NLS) with critical nonlinearity 1997 Jean Bourgain
+ An inhomogeneous, $L^2$ critical, nonlinear Schr\"odinger equation 2011 François Genoud
+ Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness 2018 Abdelwahab Bensouilah
Dhouha Draouil
Mohamed Majdoub
+ Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities 2004 Didier Smets
+ On a system of nonlinear Schrödinger equations with quadratic interaction and L2-critical growth 2021 Amin Esfahani
+ On scattering for the defocusing high dimensional inter-critical NLS 2019 Chuanwei Gao
Zehua Zhao
+ CONCENTRATION PHENOMENON FOR THE L<sup>2</sup> CRITICAL AND SUPER CRITICAL NONLINEAR SCHRÖDINGER EQUATIONS IN ENERGY SPACES 2006 Baoxiang Wang

Works That Cite This (94)

Action Title Year Authors
+ Existence and nonexistence of solutions for the heat equation with a superlinear source term 2018 Yohei Fujishima
Norisuke Ioku
+ Scattering of a 2D Schrödinger equation with exponential growth in the conformal space 2009 Tarek Saanouni
+ Global Well-Posedness and Instability of an Inhomogeneous Nonlinear Schrödinger Equation 2014 Tarek Saanouni
+ Global strong solutions to nonlocal Benjamin-Bona-Mahony equations with exponential nonlinearities 2024 Nguyen Huy Tuan
Bui Dai Nghia
Nguyễn Anh Tuấn
+ Examples From Physical Sciences 2023 N. U. Ahmed
Shian Wang
+ Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables 2008 Nikolaos Bournaveas
Vincent Calvez
+ PDF Chat On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative 2021 Nguyễn Anh Tuấn
Tomás Caraballo
Nguyen Huy Tuan
+ Asymptotic behavior of solutions to Schrödinger equations with a subcritical dissipative nonlinearity 2007 Naoyasu Kita
Akihiro Shimomura
+ Global well-posedness of some high-order focusing semilinear evolution equations with exponential nonlinearity 2017 Tarek Saanouni
+ Continuous dependence of Cauchy problem for nonlinear Schrödinger equation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msup></mml:math> 2013 Wei Dai
Weihua Yang
Daomin Cao