Maximal \(L^p\)-regularity for elliptic operators with VMO-coefficients

DOI10.1007/s00028-003-0104-0zbMath1225.35080OpenAlexW4234337800MaRDI QIDQ1397625

Horst Heck, Matthias Hieber

Publication date: 6 August 2003

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-003-0104-0

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) First-order elliptic systems (35J46)

Related Items (12)

Abstract differential equations with VMO coefficients in half space and applications ⋮ Regularity estimates for higher order elliptic systems on Reifenberg flat domains ⋮ Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data ⋮ Regularization and convergence for ill-posed backward evolution equations in Banach spaces ⋮ Weighted \(L_{p,q}\)-estimates for higher order elliptic and parabolic systems with \(\mathrm{BMO}_x\) coefficients on Reifenberg flat domains ⋮ Global weighted regularity estimates for higher‐order elliptic and parabolic systems ⋮ Optimal regular differential operators with variable coefficients and applications ⋮ Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions ⋮ On maximal regularity of type \(L^p-L^q\) under minimal assumptions for elliptic non-divergence operators ⋮ Weighted gradient estimates for higher order elliptic systems with non-smooth coefficients ⋮ Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey ⋮ \(L_p\) regularity theorem for elliptic equations in less smooth domains

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