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arXiv · 2505.02981

Uniform decoupling for convex curves

Hrit Roy
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Abstract

Using a high/low argument, we prove a universal $\ell^2L^6$ decoupling estimate with constant $C_\epsilon R^{\epsilon}$ for general convex curves in the plane. These curves have no additional regularity assumptions, and the constant $C_\epsilon$ is uniform across all such curves.

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Hrit Roy. 2025-05-05. Uniform decoupling for convex curves. https://arxiv.org/abs/2505.02981

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