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Maximal Regularity and Free Boundary Problems

Patrick Guidotti
Mathematics, UC Irvine


After introducing the concept of Maximal Regularity forparabolic problems and illustrating its usefulness for dealing with(fully) nonlinear problems, a brief introduction to Free BoundaryProblems will be given. The focus will then shift to a class of FreeBoundary Problems. Maximal regularity results as well as ellipticregularity results will be presented which are needed in the analysis ofthe Free Boundary Problems of interest.

Thursday, May 10, 2007
11:00AM AP&M 5402