Linear Hatching Systems: Unique Solutions and Norm Introduction

This lecture covers linear hatching systems with continuous coefficients, introducing unique global solutions and the concept of norms. The instructor explains the resemblance to Cauchy-Lipschitz and the implications of introducing norms in the solutions. The lecture delves into the uniformity of solutions, the uniqueness of solutions on internal canvases, and the application of fixed points. Various versions of the solutions are explored, emphasizing the importance of continuous coefficients and the control of solutions. The lecture concludes with discussions on inequalities, integral solutions, and the application of identities in the context of linear systems.