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
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