Semi-groups of Contractions

This lecture covers the concept of semi-groups of contractions, focusing on the definition and properties of these mathematical objects. It explains the uniqueness theorems and maximum principles related to semi-groups, as well as the infinitesimal generator and the subspace properties. The instructor discusses the conditions under which a semigroup is called a contraction semigroup, emphasizing linearity and domain of definition. The lecture also delves into the application of semi-groups in solving differential equations and the importance of continuous functions in this context.