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Analysis Seminar

Thursday, March 29, 2018 - 12:00pm

Jian-Guo Liu

Duke University

Location

University of Pennsylvania

DRL 4E9

Please note the special time and the special room.

Epitaxial growth is an important physical process for forming solid films or
other nano-structures.  It occurs as atoms, deposited from above, adsorb and
diffuse on a crystal surface.  Modeling the rates that atoms hop and break
bonds leads in the continuum limit to degenerate 4th-order PDE that involve exponential
nonlinearity and the p-Laplacian with p=1, for example.  We discuss a number of
analytical results for such models, some of which involve subgradient dynamics
for Radon measure solutions.