Parabolic Obstacle Problem with Measurable Data in Generalized Morrey Spaces

  • Sun-Sig Byun

    Seoul National University, South Korea
  • Lubomira 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