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 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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