Parabolic equations and systems

Athena Picarelli
Associate Professor
Research interests
Topic People Description
MSC 35K61 - Nonlinear initial-boundary value problems for nonlinear parabolic equations Athena Picarelli
The study of parabolic equations is related to evolutive diffusion problems. Hamilton-Jacobi-Bellman equations are fully nonlinear possibly degenerate equations belonging to this class and arise in the study of stochastic optimal control problems. Fixed suitable initial and boundary conditions, I’m interested in the study of existence and uniqueness of solutions, their regularity and numerical approximation.