Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation

Type: Preprint

Publication Date: 2005-01-01

Citations: 9

DOI: https://doi.org/10.48550/arxiv.math/0508210

Locations

  • arXiv (Cornell University) - View
  • DataCite API - View
  • arXiv (Cornell University) - View
  • DataCite API - View
  • arXiv (Cornell University) - View
  • DataCite API - View

Similar Works

Action Title Year Authors
+ Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation 2005 Ioan Bejenaru
Terence Tao
+ On a quadratic nonlinear Schrödinger equation: sharp well-posedness and ill-posedness 2009 Yongsheng Li
Yifei Wu
+ Ill-posedness for the nonlinear Schrödinger equation with quadratic non-linearity in low dimensions 2014 Tsukasa Iwabuchi
Takayoshi Ogawa
+ Local well-posedness for the Cauchy problem of the quadratic Schrödinger equation with nonlinearity $\bar u^2$ 2008 Nobu Kishimoto
+ Low regularity solutions for a 2D quadratic non-linear Schrödinger equation 2006 Ioan Bejenaru
Daniela De Silva
+ PDF Low regularity solutions for a 2D quadratic nonlinear Schrödinger equation 2008 Ioan Bejenaru
Daniela De Silva
+ PDF Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity $$\overline{u}^2$$ in Negative Sobolev Spaces 2023 Ruoyuan Liu
+ PDF Local well-posedness for quadratic nonlinear Schrödinger equations and the ``good'' Boussinesq equation 2010 Nobu Kishimoto
Kotaro Tsugawa
+ On quadratic Schrödinger equations in <b>R</b> <sup>1+1</sup> : a normal form approach 2012 Seungly Oh
Atanas Stefanov
+ Local well‐posedness for a system of quadratic nonlinear Schrödinger equations in one or two dimensions 2016 Huali Zhang
+ Local well-posedness for quadratic Schr\ 2011 Seungly Oh
Atanas Stefanov
+ Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity $\overline{u}^2$ in negative Sobolev spaces 2022 Ruoyuan Liu
+ Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation 2009 Nobu Kishimoto
+ Local well-posedness for quadratic Schrödinger equations in $\mathbf{R^{1+1}}$: a normal form approach 2011 Seungly Oh
Atanas Stefanov
+ Sharp local well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with a quadratic nonlinearity $|u|^2$ 2022 Ruoyuan Liu
Tadahiro Oh
+ Remark on Well-posedness of Quadratic Schrödinger equation with nonlinearity $u\bar u$ in $H^{-1/4}(\R)$ 2009 Yuzhao Wang
+ WELL-POSEDNESS FOR QUADRATIC NONLINEAR SCHRODINGER EQUATIONS (Harmonic Analysis and Nonlinear Partial Differential Equations) 2009 光太郎 津川
+ WELL-POSEDNESS FOR QUADRATIC NONLINEAR SCHRODINGER EQUATIONS (Harmonic Analysis and Nonlinear Partial Differential Equations) 2009 Kotaro Tsugawa
+ PDF Well-posedness for the fourth-order Schrödinger equations with quadratic nonlinearity 2011 Jiqiang Zheng
+ On the low-regularity global well-posedness of a system of nonlinear Schrodinger Equation 2017 Chenmin Sun