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. 577–590DOI 10.4171/RMI/685