Charles H. Swift Distinguished Service Professor
- Office:
- Eckhart 208
- Office Phone:
- 773-702-7330
- Department Email Address
- souganidis@math.uchicago.edu
- Personal Website
- http://math.uchicago.edu/~souganidis/
Research
I work in the field of partial differential equations. I am interested in the study of qualitative properties of solutions to elliptic/parabolic and hyperbolic (conservation laws and Hamilton-Jacobi equations) pde, their applications to, among others, phase transitions and mathematical biology, and interactions with stochastic analysis. Among my most recent research programs are the development of the theory of stochastic viscosity solutions for fully nonlinear stochastic pde with multiplicative noise, the study of homogenization in random environments, and the analysis of biological models for motor effects.