Sangwook Tae

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math.AP2026

Low regularity Sobolev well-posedness for Vlasov--Poisson

In-Jee Jeong, Sangwook Tae

We consider the Vlasov--Poisson equation on $R^{n} \times R^{n}$ with $n \geq 3$ . We prove local well-posedness in $H^{s} (R^{n} \times R^{n})$ with $s> n…

math.AP2026

Well-posedness for Vlasov--Poisson on Low Regularity $H^{s, p}$ Spaces in All Dimensions

Sangwook Tae

We consider the Vlasov--Poisson equation on $R^{d} \times R^{d}$ for any dimension. For initial distribution $f_{0}$ having compact support in $v$ and belonging to $H…

Low regularity Sobolev well-posedness for Vlasov--Poisson

Well-posedness for Vlasov--Poisson on Low Regularity Hs,p Spaces in All Dimensions

Well-posedness for Vlasov--Poisson on Low Regularity $H^{s, p}$ Spaces in All Dimensions