Global well-posedness and scattering for nonlinear Schr "odinger\n equations with algebraic nonlinearity when d = 2, 3, u₀ radial

2014/05/01 by Benjamin Dodson, Dodson, Benjamin · 2 citations
Mathematics · Physics and Astronomy · #35A05 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1405.0218

openalex publication_date 2014/05/01 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28

Abstract

In this paper we discuss global well - posedness and scattering for some\ninitial value problems that are L² supercritical and \H¹\nsubcritical, with radial data. We prove global well - posedness and scattering\nfor radial data in H^s, s > s_c, where the problem is \H^s_c\n- critical. We make use of the long time Strichartz estimates of citeD2 to\ndo this.\n

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