A priori estimates and precise regularity for parabolic systems with discontinuous data

DOI10.3934/dcds.2005.13.721zbMath1091.35035arXivmath/0410415OpenAlexW2042217174MaRDI QIDQ2569358

Dian K. Palagachev, Lubomira G. Softova

Publication date: 18 October 2005

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410415

zbMATH Keywords

singular integral operatorsHölder regularitySobolev-Morrey spaceskernels of mixed homogeneity

Mathematics Subject Classification ID

Related Items (22)

Parabolic equations with measurable coefficients. II. ⋮ Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems ⋮ Parabolic equations with measurable coefficients ⋮ Unnamed Item ⋮ Higher-order nondivergence elliptic and parabolic equations in Sobolev spaces and Orlicz spaces ⋮ \(L_p\) solvability of divergence type parabolic and elliptic systems with partially BMO coefficients ⋮ Generalized Morrey regularity of \(2 b\)-parabolic systems ⋮ Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains ⋮ Global regularity for higher order divergence elliptic and parabolic equations ⋮ Global weighted estimates for the gradient of solutions to nonlinear elliptic equations ⋮ On a class of weakly coupled systems of elliptic operators with unbounded coefficients ⋮ Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms ⋮ The Dirichlet Problem for Elliptic Equations with VMO Coefficients in Generalized Morrey Spaces ⋮ Global weighted estimates for second-order nondivergence elliptic and parabolic equations ⋮ Fourth-order parabolic equations with weak BMO coefficients in Reifenberg domains ⋮ Singular integral operators in Morrey spaces and interior regularity of solutions to systems of linear PDE's ⋮ Parabolic equations with partially BMO coefficients and boundary value problems in Sobolev spaces with mixed norms ⋮ Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems ⋮ On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients ⋮ Orlicz regularity for higher order parabolic equations in divergence form with coefficients in weak BMO ⋮ Conormal problem of higher-order parabolic systems with time irregular coefficients ⋮ Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey

This page was built for publication: A priori estimates and precise regularity for parabolic systems with discontinuous data