| Abstract: |
| The dynamics of how the free boundary intersects the fixed boundary has been the object of study in the classical dam problem which is a mathematical model describing the filtration of water through a porous medium split into a wet and dry part. The case of the Laplacian is well-understood and the fully nonlinear uniformly elliptic case in two dimensions is joint work with Minne. This talk focuses on the problem in higher dimensions as well as the regularity of the free boundary. |
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