On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation
From MaRDI portal
Publication:1002238
DOI10.1016/J.AIM.2008.10.013zbMath1159.35067OpenAlexW2098170404MaRDI QIDQ1002238
Publication date: 25 February 2009
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2008.10.013
A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
Related Items (6)
Blow-up for the focusing \(\dot H^{1/2}\)-critical Hartree equation with radial data ⋮ On blow up for a class of radial Hartree type equations ⋮ Normalized standing waves for the Hartree equations ⋮ Scattering versus blow-up for the focusing \(L^2\) supercritical Hartree equation ⋮ Minimal mass non-scattering solutions of the focusing \(L^2\)-critical Hartree equations with radial data ⋮ Scattering for the focusing \(\dot H^{1/2}\)-critical Hartree equation in energy space
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Global well-posedness and scattering for the mass-critical Hartree equation with radial data
- The cubic nonlinear Schrödinger equation in two dimensions with radial data
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Smoothing properties and retarded estimates for some dispersive evolution equations
- Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- On the blow up phenomenon of the critical nonlinear Schrödinger equation
- Minimal-mass blowup solutions of the mass-critical NLS
- Endpoint Strichartz estimates
This page was built for publication: On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation