Large data mass-subcritical NLS: Critical weighted bounds imply scattering
Killip R, Masaki S, Murphy J, Vişan M. 2017. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations and Applications NoDEA. 24(4), 38.
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Author
Killip, Rowan;
Masaki, Satoshi;
Murphy, Jason;
Vişan, MonicaISTA
Abstract
We consider the mass-subcritical nonlinear Schr¨odinger equation in all space dimensions with focusing or defocusing nonlinearity. For such equations with critical regularity sc ∈ (max{−1, −d/2 }, 0), we prove that any solution satisfying {mathematical formular} on its maximal interval of existence must be global and scatter.
Publishing Year
Date Published
2017-06-15
Journal Title
Nonlinear Differential Equations and Applications NoDEA
Publisher
Springer Nature
Volume
24
Issue
4
Article Number
38
ISSN
eISSN
IST-REx-ID
Cite this
Killip R, Masaki S, Murphy J, Vişan M. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations and Applications NoDEA. 2017;24(4). doi:10.1007/s00030-017-0463-9
Killip, R., Masaki, S., Murphy, J., & Vişan, M. (2017). Large data mass-subcritical NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations and Applications NoDEA. Springer Nature. https://doi.org/10.1007/s00030-017-0463-9
Killip, Rowan, Satoshi Masaki, Jason Murphy, and Monica Vişan. “Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” Nonlinear Differential Equations and Applications NoDEA. Springer Nature, 2017. https://doi.org/10.1007/s00030-017-0463-9.
R. Killip, S. Masaki, J. Murphy, and M. Vişan, “Large data mass-subcritical NLS: Critical weighted bounds imply scattering,” Nonlinear Differential Equations and Applications NoDEA, vol. 24, no. 4. Springer Nature, 2017.
Killip R, Masaki S, Murphy J, Vişan M. 2017. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations and Applications NoDEA. 24(4), 38.
Killip, Rowan, et al. “Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” Nonlinear Differential Equations and Applications NoDEA, vol. 24, no. 4, 38, Springer Nature, 2017, doi:10.1007/s00030-017-0463-9.
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