3 papers
math.AP2026
Failure of zero extension in parabolic Sobolev spaces
Jongkeun Choi, Doyoon Kim, Kwan Woo
We show that spatial zero extension across the boundary may fail in parabolic Sobolev spaces , which can also be characterized as $$ L_…
math.AP2025
Refined regularity at critical points for linear elliptic equations
Jongkeun Choi, Hongjie Dong, Seick Kim
We investigate the regularity of solutions to linear elliptic equations in both divergence and non-divergence forms, particularly when the principal coefficients have Dini mean osc…
math.AP2025
Regularity of elliptic equations in double divergence form and applications to Green's function estimates
Jongkeun Choi, Hongjie Dong, Dong-ha Kim +1
We investigate the regularity of elliptic equations in double divergence form, where the leading coefficients satisfying the Dini mean oscillation condition. We prove that the solu…