The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher
Killip R, Vişan M, Zhang X. 2008. The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Analysis & PDE. 1(2), 229–266.
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Author
Killip, Rowan;
Vişan, MonicaISTA;
Zhang, Xiaoyi
Abstract
We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Schrödinger equation (mathematical formular) for large spherically symmetric L2/x(R^d) initial data in dimensions d >= 3.
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.
Publishing Year
Date Published
2008-06-01
Journal Title
Analysis & PDE
Publisher
Mathematical Sciences Publishers
Volume
1
Issue
2
Page
229-266
ISSN
eISSN
IST-REx-ID
Cite this
Killip R, Vişan M, Zhang X. The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Analysis & PDE. 2008;1(2):229-266. doi:10.2140/apde.2008.1.229
Killip, R., Vişan, M., & Zhang, X. (2008). The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Analysis & PDE. Mathematical Sciences Publishers. https://doi.org/10.2140/apde.2008.1.229
Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “The Mass-Critical Nonlinear Schrödinger Equation with Radial Data in Dimensions Three and Higher.” Analysis & PDE. Mathematical Sciences Publishers, 2008. https://doi.org/10.2140/apde.2008.1.229.
R. Killip, M. Vişan, and X. Zhang, “The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher,” Analysis & PDE, vol. 1, no. 2. Mathematical Sciences Publishers, pp. 229–266, 2008.
Killip R, Vişan M, Zhang X. 2008. The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Analysis & PDE. 1(2), 229–266.
Killip, Rowan, et al. “The Mass-Critical Nonlinear Schrödinger Equation with Radial Data in Dimensions Three and Higher.” Analysis & PDE, vol. 1, no. 2, Mathematical Sciences Publishers, 2008, pp. 229–66, doi:10.2140/apde.2008.1.229.
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