Generalized Morrey regularity for parabolic equations with discontinuity data
Analysis of PDEs
2025-12-10 v1 Functional Analysis
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 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.
Keywords
Cite
@article{arxiv.1210.6566,
title = {Generalized Morrey regularity for parabolic equations with discontinuity data},
author = {Vagif S. Guliyev and Lubomira G. Softova},
journal= {arXiv preprint arXiv:1210.6566},
year = {2025}
}
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16 pages