Regularity for the Signorini problem and its free boundary
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Mon, 23/04/2012 17:00 |
John E. Andersson (Warwick) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
| In 1932 Signorini formulated the first variational inequality as a model of an elastic body laying on a rigid surface. In this talk we will revisit this problem from the point of view of regularity theory. We will sketch a proof of optimal regularity and regularity of the contact set. Similar result are known for scalar equations. The proofs for scalar equations are however based on maximum principles and thus not applicable to Signorini's problem which is modelled by a system of equations. | |||