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math.AP2023
Calderón-Zygmund theory of nonlocal parabolic equations with discontinuous coefficients
Sun-Sig Byun, Kyeongbae Kim, Deepak Kumar
We prove Calderón-Zygmund type estimates of weak solutions to non-homogeneous nonlocal parabolic equations under a minimal regularity requirement on kernel coefficients. In particu…
math.AP2023
Regularity results for a class of nonlocal double phase equations with VMO coefficients
Sun-Sig Byun, Kyeongbae Kim, Deepak Kumar
We study a class of nonlocal double phase problems with discontinuous coefficients. A local self-improving property and a higher Hölder continuity result for weak solutions to such…