Question

Example for an elliptic partial differential equation is

Answer 1

Answer:

The equation is said to be elliptic if b2 − 4ac < 0, parabolic if b2 − 4ac = 0 and hyperbolic if b2 − 4ac > 0. ... For example, given an elliptic differential operator L, the operator form of a parabolic equation is: ∂u ∂t + Lu = f ; and a second-order hyperbolic equation is then: ∂2u ∂t2 + Lu = f .