The Method of Fischer-Riesz Equations for Elliptic Boundary Value Problems

A. Alsaedy and N. Tarkhanov

Journal of Complex Analysis, 2013, vol. 2013, 1-11

Abstract:

We develop the method of Fischer-Riesz equations for general boundary value problems elliptic in the sense of Douglis-Nirenberg. To this end we reduce them to a boundary problem for a (possibly overdetermined) first-order system whose classical symbol has a left inverse. For such a problem there is a uniquely determined boundary value problem which is adjoint to the given one with respect to the Green formula. On using a well-elaborated theory of approximation by solutions of the adjoint problem, we find the Cauchy data of solutions of our problem.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljca:486934

DOI: 10.1155/2013/486934

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