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Singular integral operators in Morrey spaces and interior regularity of solutions to systems of linear PDE’s

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Abstract

We obtain boundedness in Morrey spaces of singular integral operators with Calderón-Zygmund type kernel of mixed homogeneity. These estimates are used for the study of the interior regularity of the solutions of linear elliptic/parabolic systems. The proved Poincaré-type inequality permits to describe the Hölder, Morrey, and BMO regularity of the lower-order derivatives of the solutions.

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  1. Department of Mathematics, Polytech of Bari, Via E. Orabona, 4, 70125, Bari, Italy

    Lubomira G. Softova

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  1. Lubomira G. Softova
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Softova, L.G. Singular integral operators in Morrey spaces and interior regularity of solutions to systems of linear PDE’s. J Glob Optim 40, 427–442 (2008). https://doi.org/10.1007/s10898-007-9213-6

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  • DOI: https://doi.org/10.1007/s10898-007-9213-6

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