Jessica Lin

My research is driven by the study of stochastic homogenization. In broad terms, stochastic homogenization refers to the study of macroscopic behavior subject to random microscopic effects. We capture this behavior by studying the asymptotic properties of solutions to certain partial differential equations modeling the phenomena. I am primarily interested in nonlinear and non-variational problems for elliptic and parabolic equations.

In addition to being a rich topic in itself, the study of homogenization leads me down several tracks of related research interests, including regularity theory for PDEs and qualitative properties of PDEs in random media. I am also always interested in better understanding the connection between PDEs and probabilistic models.

Lin
Jessica
Chicago
2014
Van Vleck Visiting Assistant Professor
Research Interests: 
Nonlinear Partial Differential Equations, Homogenization, Regularity Theory
email: 
jessica at math dot wisc dot edu
person_type: 
Postdoc
web_site: 
http://math.wisc.edu/~jessica