Jae-Hwan Choi

activity

20202026

L_{p}

-regularity theory for parabolic partial differential equations with time measurable pseudo-differential operators

2 citations · 3 across the 9 of their papers we have counts for

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math.AP2022★ 2 cited

A weighted $L_{p}$ -regularity theory for parabolic partial differential equations with time measurable pseudo-differential operators

Jae-Hwan Choi, Ildoo Kim

We obtain the existence, uniqueness, and regularity estimates of the following Cauchy problem \begin{equation}\label{ab eqn} \begin{cases} \partial_t u(t,x)=ψ(t,-i\nabla)u(t,x)+f(t…

math.AP2022

Sobolev regularity theory for the non-local elliptic and parabolic equations on $C^{1, 1}$ open sets

Jae-Hwan Choi, Kyeong-Hun Kim, Junhee Ryu

We study the zero exterior problem for the elliptic equation $Δ^{α /2} u - λ u = f, x \in D; u ∣_{D^{c}} = 0$ as well as for the parabolic equation $$ u_t=Δ^{α/2}u+f, \quad t>…

A weighted Lp​-regularity theory for parabolic partial differential equations with time measurable pseudo-differential operators

Sobolev regularity theory for the non-local elliptic and parabolic equations on C1,1 open sets

A weighted $L_{p}$ -regularity theory for parabolic partial differential equations with time measurable pseudo-differential operators

Sobolev regularity theory for the non-local elliptic and parabolic equations on $C^{1, 1}$ open sets