Mathematics > Analysis of PDEs
[Submitted on 8 Apr 2024 (v1), last revised 19 Apr 2024 (this version, v2)]
Title:Well-posedness of the 2D surface quasi-geostrophic equation in variable Lebesgue spaces
View PDF HTML (experimental)Abstract:In this paper, we are mainly concerned with the well-posedness of the dissipative surface quasi-geostrophic equation in the framework of variable Lebesgue spaces. Based on some analytical results developed in the variable Lebesgue spaces and the $L^{p}$-$L^{q}$ decay estimates of the fractional heat kernel, we establish the local existence and regularity of solutions to the 2D dissipative surface quasi-geostrophic equation in the variable Lebesgue space.
Submission history
From: Jihong Zhao [view email][v1] Mon, 8 Apr 2024 01:00:37 UTC (13 KB)
[v2] Fri, 19 Apr 2024 12:57:44 UTC (13 KB)
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