Abstract :
[en] In the context of solving boundary value problems involving partial differential equations,
the method of traces is frequently employed. This method is often applied to tackle problems
with boundary value or non-homogeneous boundary conditions. Within this framework, trace
theorems provide intriguing interpolation methods. In this paper, we delve into the characteristics
of such spaces defined by a function parameter and demonstrate their functorial
interpretation. In particular, we address the density issue for the case L∞. Furthermore, we
showcase their utility through several examples.
