Analysis & PDE
- Anal. PDE
- Volume 1, Number 2 (2008), 229-266.
The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher
We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Schrödinger equation for large spherically symmetric initial data in dimensions . In the focusing case we require that the mass is strictly less than that of the ground state. As a consequence, we obtain that in the focusing case, any spherically symmetric blowup solution must concentrate at least the mass of the ground state at the blowup time.
Anal. PDE, Volume 1, Number 2 (2008), 229-266.
Received: 11 August 2008
Revised: 20 August 2008
Accepted: 23 September 2008
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Killip, Rowan; Visan, Monica; Zhang, Xiaoyi. The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Anal. PDE 1 (2008), no. 2, 229--266. doi:10.2140/apde.2008.1.229. https://projecteuclid.org/euclid.apde/1513797961