Postdoctoral researcher in Mathematics
at Aalto University (NPDE group)
Research Interest
Regularity theory for elliptic and parabolic PDEs
Deep Operator Network, PDEs related
Contact : wontae.kim@aalto.fi or kim.wontae.pde@gmail.com
Google Scholar : Link
MathSciNet : Link
CV : Link
List of publications
Hölder regularity for degenerate parabolic double-phase equations, with K. Moring and L. Särkiö, / arXiv (2024).
Calderón-Zygmund type estimate for the parabolic double-phase system, / arXiv (2023).
Lipschitz truncation method for parabolic double-phase systems and applications, with J. Kinnunen and L. Särkiö, / arXiv (2023).
Gradient higher integrability for singular parabolic double-phase systems, with L. Särkiö, NoDEA 31(2024), no.3, Paper No. 40. / arXiv (2023).
On the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems, with P. Garain and J. Kinnunen, to appear in Forum Math. / arXiv (2023).
Gradient higher integrability for degenerate parabolic double-phase systems, with J. Kinnunen and K. Moring, Arch. Ration. Mech. Anal., 247(5):79, 2023. / arXiv (2022).
Self-improving properties of very weak solutions to double phase systems, with S. Baasandorj and S-S. Byun, Trans. Amer. Math. Soc., 376 (2023), 8733-8768. / arXiv (2022).
Estimates for the p-Laplacian type operator in the subcritical Sobolev exponent range, with S-S. Byun and M. Heo, Math. Nachr., 296 (2023), no. 4, 1404-1419.
Global Calderon-Zygmund estimate for p-Laplacian parabolic system, with S-S. Byun, Math. Ann., 383 (2022), no. 1-2, 77-118.
Partial existence result for homogeneous quasilinear parabolic problems beyond the duality pairing, with K. Adimurthi and S-S. Byun, Calc. Var. Partial. Differ. Equ., 61 (2022), no. 4, Paper No. 159.
Higher integrability near the initial boundary for nonhomogeneous parabolic systems of p-Laplacian type, with S-S. Byun and M. Lim, Forum Math., 32 (2020), no. 6, 1539-1559.