Evolutions Equations

This course deals with some type evolution equations arising in applied sciences, from the point of view of the existence, uniqueness, and properties of the solutions. These equations involve maximal monotone operators and subdifferentials of convex and lower semicontinuous functions.

The students will acquire the ability to deal with analytical tools to investigate evolution equations related to applied problems, possibly involving strong nonlinearities (e.g. due to the presence of multivalued operators). The skills refer to the theory of abstract evolution equations, approximation (and dicretization) techniques, a priori estimates on the (approximated) solutions, and passage to the limit (by compactness and semicontinuity arguments)