This is the second part of a
year-long course on partial differential equations (PDEs). We will
start this semester with the existence, uniqueness, and regularity
theory for linear second order elliptic, parabolic, and hyperbolic
equations. Then we will discuss basics of the semigroup theory, some
ways to deal with nonlinear PDEs, and other topics (techniques from
the calculus of variations, qualitative properties of solutions,
etc).
Syllabus, assignments, and other relevant information for this
course will be posted on Canvas.