English

Existence of positive definite noncoercive sums of squares

Algebraic Geometry 2007-12-14 v1 Analysis of PDEs

Abstract

Positive definite forms ff which are sums of squares are constructed to have the additional property that the members of any collection of forms whose squares sum to ff must share a nontrivial complex root.

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Cite

@article{arxiv.0712.2167,
  title  = {Existence of positive definite noncoercive sums of squares},
  author = {Gregory C. Verchota},
  journal= {arXiv preprint arXiv:0712.2167},
  year   = {2007}
}

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27 pages