Uniform decoupling for convex curves

Fuente: arXiv
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Autor principal: Roy, Hrit
Formato: Preprint
Publicado: 2025
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author Roy, Hrit
author_facet Roy, Hrit
contents Using a high/low argument, we prove a universal $\ell^2L^6$ decoupling estimate with constant $C_εR^ε$ for general convex curves in the plane. These curves have no additional regularity assumptions, and the constant $C_ε$ is uniform across all such curves.
format Preprint
id arxiv_https___arxiv_org_abs_2505_02981
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Uniform decoupling for convex curves
Roy, Hrit
Classical Analysis and ODEs
Using a high/low argument, we prove a universal $\ell^2L^6$ decoupling estimate with constant $C_εR^ε$ for general convex curves in the plane. These curves have no additional regularity assumptions, and the constant $C_ε$ is uniform across all such curves.
title Uniform decoupling for convex curves
topic Classical Analysis and ODEs
url https://arxiv.org/abs/2505.02981