Global well-posedness and scattering for the defocusing mass-critical Schrödinger equation in the three-dimensional hyperbolic space

2023/10/15 by Bobby L. Wilson, Xueying Yu, Wilson, Bobby +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2310.12277

Abstract

In this paper, we prove that the initial value problem for the mass-critical defocusing nonlinear Schrödinger equation on the three-dimensional hyperbolic space ℍ³ is globally well-posed and scatters for data with radial symmetry in the critical space L² (ℍ³).

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• Equivariant stability of vortices in Manton's Chern-Simons-Schrödinger system on the hyperbolic plane

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