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math.AP2020★ 2 cited
Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms
Doyoon Kim, Seungjin Ryu, Kwan Woo
We prove the Lp,q-solvability of parabolic equations in divergence form with full lower-order terms. The coefficients and non-homogeneous terms belong to mixed Lebesgue spaces with…
math.AP2020★ 2 cited
An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives
Hongjie Dong, Doyoon Kim
We give a unified approach to weighted mixed-norm estimates and solvability for both the usual and time fractional parabolic equations in nondivergence form when coefficients are m…