We obtain continuity in generalized parabolic Morrey spaces of sublinear operators generated by the parabolic Calderòn-Zygmund operator. As a consequence the boundedness of the commutators of sublinear operators with BMO functions on generalized Morrey spaces is also obtained. We apply the above results to the study of the global regularity for the Cauchy-Dirichlet problem for linear uniformly parabolic equations with VMO coefficients.
Generalized Morrey regularity for parabolic equations with discontinuous data
SOFTOVA Lyoubomira
2015
Abstract
We obtain continuity in generalized parabolic Morrey spaces of sublinear operators generated by the parabolic Calderòn-Zygmund operator. As a consequence the boundedness of the commutators of sublinear operators with BMO functions on generalized Morrey spaces is also obtained. We apply the above results to the study of the global regularity for the Cauchy-Dirichlet problem for linear uniformly parabolic equations with VMO coefficients.File in questo prodotto:
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