English

Modified Rayleigh Conjecture for static problems

Analysis of PDEs 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0411177,
  title  = {Modified Rayleigh Conjecture for static problems},
  author = {A. G. Ramm},
  journal= {arXiv preprint arXiv:math/0411177},
  year   = {2007}
}