Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering
Killip R, Vişan M. 2010. Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering. Communications in Partial Differential Equations. 35(6), 945–987.
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Author
Killip, Rowan;
Vişan, MonicaISTA
Abstract
We consider two classes of defocusing energy-supercritical nonlinear Schrödinger equations in dimensions d ≥ 5. We prove that if the solution u is a priori bounded in the critical Sobolev space, that is, {mathematical formular} , then u is global and scatters.
Publishing Year
Date Published
2010-06-01
Journal Title
Communications in Partial Differential Equations
Publisher
Informa UK Limited
Volume
35
Issue
6
Page
945-987
ISSN
eISSN
IST-REx-ID
Cite this
Killip R, Vişan M. Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering. Communications in Partial Differential Equations. 2010;35(6):945-987. doi:10.1080/03605301003717084
Killip, R., & Vişan, M. (2010). Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering. Communications in Partial Differential Equations. Informa UK Limited. https://doi.org/10.1080/03605301003717084
Killip, Rowan, and Monica Vişan. “Energy-Supercritical NLS: Critical [Hdot]^s-Bounds Imply Scattering.” Communications in Partial Differential Equations. Informa UK Limited, 2010. https://doi.org/10.1080/03605301003717084.
R. Killip and M. Vişan, “Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering,” Communications in Partial Differential Equations, vol. 35, no. 6. Informa UK Limited, pp. 945–987, 2010.
Killip R, Vişan M. 2010. Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering. Communications in Partial Differential Equations. 35(6), 945–987.
Killip, Rowan, and Monica Vişan. “Energy-Supercritical NLS: Critical [Hdot]^s-Bounds Imply Scattering.” Communications in Partial Differential Equations, vol. 35, no. 6, Informa UK Limited, 2010, pp. 945–87, doi:10.1080/03605301003717084.
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