Parabolic obstacle problem with measurable coefficients in Morrey-type spaces

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Abstract

We consider obstacle problem related to linear divergence form parabolic system with measurable coefficients in domain with irregular boundary. Supposing that the data of the problem and the obstacle belong to Morrey-type space, we get Calderón–Zygmund type estimate for the gradient of the solution.

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Softova, L. G. (2016). Parabolic obstacle problem with measurable coefficients in Morrey-type spaces. In Springer Proceedings in Mathematics and Statistics (Vol. 164, pp. 245–253). Springer New York LLC. https://doi.org/10.1007/978-3-319-32857-7_23

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