The domain of dependence in hyperbolic equations is defined as the entire region enclosed by the characteristics, not just the values on the characteristics themselves. This conclusion is supported by established principles in computational fluid dynamics (CFD) textbooks. The analogy of a light-cone effectively illustrates this concept, emphasizing that any point within the enclosed region can influence other points within the same region.
PREREQUISITESMathematicians, physicists, and engineers working with hyperbolic equations, as well as students and professionals in computational fluid dynamics seeking to deepen their understanding of domain of dependence.