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On the solution of Liouville equation

Mathematical Physics 2017-09-13 v1 High Energy Physics - Theory math.MP

Abstract

We give a short and rigorous proof of the existence and uniqueness of the solution of Liouville equation with sources, both elliptic and parabolic, on the sphere and on all higher genus compact Riemann surfaces.

Keywords

Cite

@article{arxiv.1610.09669,
  title  = {On the solution of Liouville equation},
  author = {Pietro Menotti},
  journal= {arXiv preprint arXiv:1610.09669},
  year   = {2017}
}

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10 pages