University of Connecticut

Partial Differential Equations

Research Activity

Partial Differential Equations show up in almost all fields of exact sciences. Within this broad scope, research at UConn’s math department focuses mainly on the following topics:

  • Linear partial differential equations and Brownian motion.
  • Nonlinear Analysis: the Mountain Pass Theorem.
  • The Gierer Meinhardt model.
  • Bose Einstein condensates.
  • Calculus of variations.
  • Fully nonlinear partial differential equations and its applications to differential geometry and algebraic geometry.
  • Geometric partial differential equations that arises naturally from mathematical general relativity.
  • Elliptic and parabolic equations from materials science and continuum mechanics.