- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:46
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
28
2012
2
On the time derivative in an obstacle problem
Peter
Lindqvist
Norwegian University of Science and Technology, TRONDHEIM, NORWAY
Obstacle problem, time derivative, parabolic variational inequality
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 $p \geq 2$.
Partial differential equations
Calculus of variations and optimal control; optimization
General
577
590
10.4171/rmi/685
http://www.ems-ph.org/doi/10.4171/rmi/685