| Abstract: | In this paper one investigates overdetermined elliptic systems with constant coefficients for which one can pose general boundary-value problems without overdetermination in the boundary conditions. One finds the algebraic condition which characterizes the indicated class of systems. It is shown that the general boundary-value problems for such systems are Noetherian in the subspace of vector-functions satisfying some purely differential consistency conditions.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. nA. Steklova AN SSSR, Vol. 47, pp. 138–154, 1974. |
