General Prerequisites: A4 Integration is highly recommended and a basic knowledge of metric spaces is assumed. Ideas from B4.1 and B4.2 (Functional Analysis I and II) are lightly used but not required since the course is self-contained. A brief study of L^p spaces and Sobolev embedding is sufficient pre-requisite understanding for the course.
Course Overview: We introduce geometric and analysis approaches to hyperbolic equations, by discussing model problems from wave equations and conservation laws. These approaches have been applied and extended extensively in recent research, and lie in the heart of theory of hyperbolic PDEs.
Lecturer(s):
Dr Jan Sbierski