Oblique derivative problem for parabolic operators with VMO coefficients

Publication date: 18 June 2001

Published in: Manuscripta Mathematica (Search for Journal in Brave)

uniformly parabolic operator discontinuous coefficients singular integral operators regular oblique derivative problem Sarason class explicit representation formula for the derivatives

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (12)

Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces ⋮ Corrigendum to: ``Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces ⋮ Elliptic equations with BMO coefficients in Lipschitz domains ⋮ A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with \(VMO\) coefficients. ⋮ Morrey-type regularity of solutions to parabolic problems with discontinuous data ⋮ Parabolic oblique derivative problem with discontinuous coefficients in generalized Morrey spaces ⋮ \(L^p\)-estimates for the Hessians of solutions to fully nonlinear parabolic equations with oblique boundary conditions ⋮ Parabolic equations with BMO coefficients in Lipschitz domains ⋮ Parabolic equations with VMO coefficients in generalized Morrey spaces ⋮ \(L^p\) estimates for parabolic equations in Reifenberg domains ⋮ On a Model for the Evolution of Morphogens in a Growing Tissue ⋮ Quasilinear parabolic operators with discontinuous ingredients

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