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Free and Moving Boundary Value Problems
| Speaker: |
Peter in 't panhuis
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| Date: |
Wednesday April 16, 2008 |
| Title: |
Elliptic Variational
Inequalities
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Abstract
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The obstacle problem is a typical
example of a free boundary value problem. It concerns the small
transverse displacement of an elastic membrane in equilibrium when its
boundary is fixed and the whole membrane is simultaneously subject to a
pressure and constrained to lie on one side of a rigid obstacle.
Alternatively one can formulate the obstacle problem as a
variational problem. By means of elliptic variational inequalities we
will show equivalence of the two formulations. Furthermore existence
and uniqueness is demonstrated.
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