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arXiv · 1210.6566

Generalized Morrey regularity for parabolic equations with discontinuity data

Vagif S. Guliyev·Lubomira G. Softova
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Abstract

We obtain continuity in generalized parabolic Morrey spaces of sublinear integrals generated by the parabolic Calder\'{o}n-Zygmund operators and its commutator with $VMO$ functions. The obtained estimates are used to study global regularity of the solutions of the Cauchy-Dirichlet problem for linear uniformly parabolic equations with discontinuous coefficients.

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Vagif S. Guliyev, Lubomira G. Softova. 2012-10-24. Generalized Morrey regularity for parabolic equations with discontinuity data. https://doi.org/10.1017/s0013091513000758

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