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arXiv · 2507.09058

Existence of Non-Decaying Solutions to the Generalized Surface Quasi-Geostrophic Equations

Zachary Radke
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Abstract

We establish the short-time existence and uniqueness of non-decaying solutions to the generalized Surface Quasi-Geostrophic equations in H\"older-Zygmund spaces $C^r(\mathbb{R}^2)$ for $r>1$ and uniformly local Sobolev spaces $H_{ul}^s(\mathbb{R}^2)$ for $s>2$.

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Zachary Radke. 2025-07-11. Existence of Non-Decaying Solutions to the Generalized Surface Quasi-Geostrophic Equations. https://arxiv.org/abs/2507.09058

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