Abstract: We give in this paper a new formulation of Adomian
polynomials which intervene in the calculation of the terms of the Adomian
series, in a case of nonlinear operator depending not only on the variable u,
but
also of its derivatives in space We illustrate this new approach to
some Hamilton-Jacobi equation in mathematical morphology.
Keywords and phrases: Adomian polynomials, Hamilton-Jacobi, Hamiltonian, mathematical morphology.
