Mappings of finite distortion: analysis in the extreme

  • Date: 07/12/2007

Kari Astala (University of Helsinki)


University of Washington


Degenerate structures arise naturally in many questions in PDE's and
calculus of variations as well as in their applications. Mappings of
finite distortion study how far the powerful tools of geometric
analysis can here reach; the theory of these maps has been developed in
the last 7-8 years, and it is surprising how precise information we can
now achieve. We give an illustration on these methods through two
examples, one in nonlinear elasticity and the other in inverse
problems, in electrical impedance tomography.

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10th Anniversary Speaker Series 2007