Modified Rayleigh Conjecture for static problems

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

Modified Rayleigh conjecture (MRC) in scattering theory was proposed and
justified by the author (J.Phys A, 35 (2002), L357-L361). MRC allows one to
develop efficient numerical algorithms for solving boundary-value problems. It
gives an error estimate for solutions. In this paper the MRC is formulated and
proved for static problems.

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