Stability of Trace Theorems on the Sphere

Neal Bez, Chris Jeavons, Tohru Ozawa, Mitsuru Sugimoto

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We prove stable versions of trace theorems on the sphere in L2 with optimal constants, thus obtaining rather precise information regarding near-extremisers. We also obtain stability for the trace theorem into Lq for q> 2 , by combining a refined Hardy–Littlewood–Sobolev inequality on the sphere with a duality–stability result proved very recently by Carlen. Finally, we extend a local version of Carlen’s duality theorem to establish local stability of certain Strichartz estimates for the kinetic transport equation.

本文言語English
ページ(範囲)1456-1476
ページ数21
ジャーナルJournal of Geometric Analysis
28
2
DOI
出版ステータスPublished - 2018 4 1

ASJC Scopus subject areas

  • Geometry and Topology

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