We establish Calderon-Zygmund type estimate for the weak solutions of variational inequalities for divergence form parabolic systems with discontinuous data in non-smooth domains. The obstacle is constrained in the frameworks of generalized Morrey spaces under various conditions on the weight function. The coefficients of the operator supposed to be only measurable in one of the space variables and to have small mean oscillation in the others. Regarding the non-smooth domain we suppose that its boundary is flat in the sense of Reifenberg.
Parabolic obstacle problem with measurable coefficients in Morrey type spaces.
SOFTOVA Lyoubomira
2016-01-01
Abstract
We establish Calderon-Zygmund type estimate for the weak solutions of variational inequalities for divergence form parabolic systems with discontinuous data in non-smooth domains. The obstacle is constrained in the frameworks of generalized Morrey spaces under various conditions on the weight function. The coefficients of the operator supposed to be only measurable in one of the space variables and to have small mean oscillation in the others. Regarding the non-smooth domain we suppose that its boundary is flat in the sense of Reifenberg.File in questo prodotto:
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