Hyperbolic equations: domain of dependence

[defunc]

In many cfd textbooks the domain of dependence is stated as the entire region emclosed by the characteristics. Is this correct? Isnt it only the values on the characteristics?

Thanks!

 

[hunt_mat]

It is correct as you can get from any point in the region enclosed by the characteristics to any other point within the region enclosed by the characteristics.

Think of it like a light-cone if that helps.