Revista Matemática Iberoamericana
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Published online: 2012-04-22
On the time derivative in an obstacle problemPeter Lindqvist (1) Norwegian University of Science and Technology, Trondheim, Norway
We prove that the time derivative of the solution for the obstacle problem related to the evolutionary $p$-Laplace equation exists in Sobolev’s sense, provided that the given obstacle is smooth enough. We keep $p \geq 2$.
Keywords: Obstacle problem, time derivative, parabolic variational inequality
Lindqvist Peter: On the time derivative in an obstacle problem. Rev. Mat. Iberoam. 28 (2012), 577-590. doi: 10.4171/rmi/685