Erik Lindgren – Pointwise estimates and regularity for the parabolic obstacle problem

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Date(s) - 7 mai 2013

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I will discuss the pointwise regularity of solutions to parabolic equations. In particular, I will talk about a method that can be used to obtain a second order Taylor expansion (in $L^p$-average). I will also discuss how the same method can be applied to the parabolic obstacle problem in order to study the regularity of the free boundary.