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math.AP2010
Irregular Time Dependent Obstacles
Peter Lindqvist, Mikko Parviainen
We study the obstacle problem for the Evolutionary p-Laplace Equation when the obstacle is discontinuous and without regularity in the time variable. Two quite different procedures…
math.AP2010
On the Time Derivative in an Obstacle Problem
Peter Lindqvist
I prove that the time derivative for the solution of the obstacle problem related to the Evolutionary p-Laplace Equation exists in Sobolev's sense, provided that the given obstacle…