Abstract:In this paper, we study the well-posedness of Fractional Rough Burgers equation driven by space-time white noise in $H^s$ space. For the higher dissipation $\gamma\in(\frac{4}{3},2]$, we establish local well-posedness. Global well-posedness is further obtained when $\gamma$ is restricted to the interval $(\frac{8}{5}, 2]$. For the lower dissipation $\gamma\in(\frac{5}{4},\frac{4}{3}]$, we establish the para-controlled solution in $\mathcal C^{s}\cap H^s$.
From: Shuolin Zhang [view email]
[v1]
Fri, 28 Nov 2025 06:08:28 UTC (29 KB)
[v2]
Sat, 7 Feb 2026 10:18:05 UTC (31 KB)
[v3]
Mon, 6 Apr 2026 23:56:55 UTC (33 KB)
[v4]
Sat, 12 Sep 2026 10:24:44 UTC (69 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。