2 papers
math.AP2023
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels
Sun-Sig Byun, Hyojin Kim, Kyeongbae Kim
We study a nonlocal parabolic equation with an irregular kernel coefficient to establish higher Hölder regularity under an appropriate higher integrablilty on the nonhomogeneous te…
math.AP2021
Local Hölder continuity for fractional nonlocal equations with general growth
Sun-Sig Byun, Hyojin Kim, Jihoon Ok
We study generalized fractional -Laplacian equations to prove local boundedness and Hölder continuity of weak solutions to such nonlocal problems by finding a suitable fractiona…