Global existence for some radial, low regularity nonlinear Schrödinger equations
From MaRDI portal
Publication:2269686
DOI10.1016/J.JFA.2009.12.002zbMath1218.35223OpenAlexW2010476046MaRDI QIDQ2269686
Publication date: 17 March 2010
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2009.12.002
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bootstrapped Morawetz estimates and resonant decomposition for low regularity global solutions of cubic NLS on \(\mathbb R^2\)
- The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
- Resonant decompositions and the \(I\)-method for the cubic nonlinear Schrödinger equation on \(\mathbb R^2\)
- The cubic nonlinear Schrödinger equation in two dimensions with radial data
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- Pseudodifferential operators and nonlinear PDE
- Pointwise Fourier inversion: A wave equation approach
- Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.
- Partial differential equations. 2: Qualitative studies of linear equations
- The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
- The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- Global well-posedness for the \(L^2\) critical nonlinear Schrödinger equation in higher dimensions
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Short Time Behavior of Solutions to Linear and Nonlinear Schrödinger Equations
- Endpoint Strichartz estimates
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3
- Short Time Behavior of Solutions to Nonlinear Schrödinger Equations in One and Two Space Dimensions
This page was built for publication: Global existence for some radial, low regularity nonlinear Schrödinger equations