Question

Which of these are correct for an elliptic equation?

(a) There is no limited region of influence or domain of dependence

(b) There is no region of influence or domain of dependence

(c) There is no region of influence, but there exists a domain of dependence

(d) There is no domain of dependence, but there exists a region of influence

This question was addressed to me during an internship interview.

My question is taken from Mathematical Behaviour of PDE topic in chapter Mathematical Behaviour of Partial Differential Equations of Computational Fluid Dynamics

Answer 1

The correct answer is (a) There is no limited region of influence or domain of dependence

For explanation: For elliptic equations, the information is spread everywhere in all directions. They have an infinite region of influence or a limited domain of dependence for these equations. But, it cannot be stated that they do not have a region of influence or domain of dependence.