Small data scattering for energy-subcritical and critical Nonlinear Klein Gordon equations on product spaces

2016/03/22 by Lysianne Hari, Nicola Visciglia, Hari, Lysianne +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1603.06762

openalex publication_date 2016/03/22 · openalex created_date 2017/04/28 · openalex updated_date 2026/07/28

Abstract

We study small data scattering of solutions to Nonlinear Klein-Gordon equations with suitable pure power nonlinearities, posed on ℝ^d× M^k with k≤2 and d≥1 and M^k a compact Riemannian manifold. As a special case we cover the H¹-critical NLKG on ℝ × M².

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