Evolution Equations and Applications
Brief introduction to the course:
After a short historical introduction, the most important results will be presented, including the Hille- Yosida theorem, as well as the main existence results for linear and nonlinear evolution equations. Some applications will be discussed to illustrate the theoretical results.
The goals of the course:
The main goal of the course is to introduce students to the main topics and methods of the theory of evolution equations in Banach spaces.
Students will learn some basic methods, which are useful not only for pure mathematicians, but also for
applied mathematicians, engineers, physicists. Even more, they will learn how to use these methods in
solving specific problems associated with various partial differential equations