On the time derivative in an obstacle problem

  • Peter Lindqvist

    Norwegian University of Science and Technology, Trondheim, Norway

Abstract

We prove that the time derivative of the solution for the obstacle problem related to the evolutionary -Laplace equation exists in Sobolev’s sense, provided that the given obstacle is smooth enough. We keep .

Cite this article

Peter Lindqvist, On the time derivative in an obstacle problem. Rev. Mat. Iberoam. 28 (2012), no. 2, pp. 577–590

DOI 10.4171/RMI/685