arXiv Open Access 2025

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

Zachary Radke

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Abstrak

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

Topik & Kata Kunci

math.AP

Penulis (1)

Zachary Radke

Format Sitasi

APA MLA BibTeX

Radke, Z. (2025). Existence of Non-Decaying Solutions to the Generalized Surface Quasi-Geostrophic Equations. https://arxiv.org/abs/2507.09058

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓