The perturbation method for the skew-symmetric strongly elliptic systems of PDEs

For a Jordan domain with sufficiently smooth boundaries, the solution to Dirichlet problem for second-order skew-symmetric strongly elliptic system constant coefficients and regular enough boundary data is constructed in form of power series small parameter describing perturbation given from Laplace one. The this are functions that determined sequentially as solutions special problems usual Poisson equations. obtained converges uniformly closure under consideration.