We consider the Cauchy-Dirichlet problem for linear divergence form parabolic operators in bounded reifenberg-flat domains. We obtain boundedness of the maximal operator in the generalized Morrey spaces. This permits us to obtain Calderon-Zygmund type estimate for the gradient of the weak solution of the problem.
Generalized Morrey estimates for the gradient of divergence form parabolic operators with discontinuous coefficients
SOFTOVA PALAGACHEVA, Lyoubomira;
2015
Abstract
We consider the Cauchy-Dirichlet problem for linear divergence form parabolic operators in bounded reifenberg-flat domains. We obtain boundedness of the maximal operator in the generalized Morrey spaces. This permits us to obtain Calderon-Zygmund type estimate for the gradient of the weak solution of the problem.File in questo prodotto:
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