Establishes unique solvability in weighted mixed-norm Sobolev spaces for nondivergence form linear parabolic and elliptic equations with degenerate coefficients x_d^2 a_ij having specific measurability and small oscillation conditions.
Seo, Sobolev space theory for Poisson’s equation in non-smooth domains via superharmonic functions and Hardy’s inequality (2024), arXiv preprint arXiv:2403.18865
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On nondivergence form linear parabolic and elliptic equations with degenerate coefficients
Establishes unique solvability in weighted mixed-norm Sobolev spaces for nondivergence form linear parabolic and elliptic equations with degenerate coefficients x_d^2 a_ij having specific measurability and small oscillation conditions.