Analyticity up to the boundary for the divergence equation

Igor Kukavica; Qi Xu

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arXiv · 2604.01665

Analyticity up to the boundary for the divergence equation

Igor Kukavica·Qi Xu

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Abstract

We address analytic regularity for the divergence equation $\text{div}\, u = f$ in $Ω$, with $u=0$ on $\partialΩ$, where $Ω$ is an arbitrary bounded analytic domain and $\int_Ω f\,dx=0$. If $f$ is analytic on the closure of $Ω$, then we prove that there exists a solution that is analytic on the closure of $Ω$.

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BibTeX RIS

Igor Kukavica, Qi Xu. 2026-04-02. Analyticity up to the boundary for the divergence equation. https://arxiv.org/abs/2604.01665

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