👉 Non-divergence is a mathematical concept in measure theory and functional analysis, used to describe how much a function or a measure varies from one point to another. It is defined as the total variation of the function over a set, excluding any points that are in the domain but not on its boundary. The nondivergence property states that if a continuous function f(x) is differentiable at every point x in its domain D and if the function is not constant (i.e., for all