Title

Almost Sure Scattering for the Energy-Critical NLS with Radial Data Below H¹(ℝ⁴)

Abstract

We prove almost sure global existence and scattering for the energy-critical nonlinear Schrödinger equation with randomized spherically symmetric initial data in Hs(ℝ4) with 5/6 < s < 1. We were inspired to consider this problem by the recent work of Dodson-Lührmann-Mendelson, which treated the analogous problem for the energy-critical wave equation.

Department(s)

Mathematics and Statistics

Comments

R. K. was supported by NSF grant DMS-1600942. J. M. was supported in part by NSF DMS-1400706. M. V. was supported by NSF grant DMS-1500707.

Keywords and Phrases

Almost sure scattering; Energy-critical NLS; Supercritical data

International Standard Serial Number (ISSN)

0360-5302; 1532-4133

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 Taylor & Francis, All rights reserved.

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