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math.AP2025
Singular-degenerate parabolic systems with the conormal boundary condition on the upper half space
Bekarys Bekmaganbetov, Hongjie Dong
We prove the well-posedness and regularity of solutions in mixed-norm weighted Sobolev spaces for a class of second-order parabolic and elliptic systems in divergence form in the h…
math.AP2024
Elliptic and parabolic equations with rough boundary data in Sobolev spaces with degenerate weights
Bekarys Bekmaganbetov, Hongjie Dong
We investigate the inhomogeneous boundary value problem for elliptic and parabolic equations in divergence form in the half space , where the coefficients are measurab…