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20232026
most citedNonlocal elliptic and parabolic equations with general stable operators in weighted Sobolev spaces

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math.AP2026

A frequency localized maximum principle and its applications to time fractional equations with rough coefficients

Jae-Hwan Choi, Junhee Ryu

We establish a frequency localized maximum principle for parabolic second-order partial differential equations with the Caputo time fractional derivative of order $α…

math.AP2026

Weighted mixed-norm estimates for fractional parabolic equations with space-time nonlocal operators

Hongjie Dong, Junhee Ryu

We establish weighted mixed-norm estimates for fractional parabolic equations \begin{equation*} \partial_t^αu=Lu-λu+f \text{ in } (0,T)\times\mathbb{R}^d, \end{equation*} with nonl…