Parabolic Obstacle Problem with Measurable Data in Generalized Morrey Spaces
Sun-Sig Byun
Seoul National University, South KoreaLubomira G. Softova
Seconda Università degli Studi di Napoli, Aversa, Italy
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Abstract
We study the global regularity in generalized Morrey spaces of the solutions to variational inequality and obstacle problem related to divergence form parabolic operator in bounded non-smooth domain. We impose minimal regularity conditions as to the coefficients of the operator so also to the boundary of the domain.
Cite this article
Sun-Sig Byun, Lubomira G. Softova, Parabolic Obstacle Problem with Measurable Data in Generalized Morrey Spaces. Z. Anal. Anwend. 35 (2016), no. 2, pp. 153–171
DOI 10.4171/ZAA/1559