Determining the Potential Function of the Stationary Vector Burgers’ Equation

We consider the inverse problem of determining the potential function of the stationary vector Burgers equations Δu – (u · ∇)u – q(x)u = 0. We give the well-posedness of the solution in H2 a small boundary value. Then, by linearization, we prove that the potential function can be determined from the boundary Cauchy data.