Solvability of second-order equations with hierarchically partially BMO coefficients

DOI10.1090/S0002-9947-2011-05453-XzbMath1242.35132arXiv1009.5657MaRDI QIDQ5388831

Hongjie Dong

Publication date: 20 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5657

zbMATH Keywords

discontinuous coefficientsvanishing mean oscillation\( L_p\)-solvability in the whole space

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15) Second-order parabolic equations (35K10)

Related Items (16)

Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces ⋮ On elliptic equations in a half space or in convex wedges with irregular coefficients ⋮ Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients ⋮ Time fractional parabolic equations with partially SMO coefficients ⋮ Nondivergence form degenerate linear parabolic equations on the upper half space ⋮ Weighted Hessian estimates in Orlicz spaces for nondivergence elliptic operators with certain potentials ⋮ Weighted mixed-norm \(L_p\) estimates for equations in non-divergence form with singular coefficients: The Dirichlet problem ⋮ Weighted \(L^{p(\cdot)}\)-regularity for fully nonlinear parabolic equations ⋮ On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights ⋮ Weighted Lorentz estimates for nondivergence linear elliptic equations with partially BMO coefficients ⋮ On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients ⋮ Gradient estimates for parabolic and elliptic systems from linear laminates ⋮ \(L^{p(\cdot)}\)-regularity of Hessian for nondivergence parabolic and elliptic equations with measurable coefficients ⋮ WEIGHTED SOLVABILITY FOR PARABOLIC EQUATIONS WITH PARTIALLY BMO COEFFICIENTS AND ITS APPLICATIONS ⋮ On weighted W^2,p estimates for elliptic equations with BMO coefficients in nondivergence form ⋮ Global regularity estimates for non-divergence elliptic equations on weighted variable Lebesgue spaces

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