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Evans-Krylov Estimates for a nonconvex Monge-Amp\`ere equation

Analysis of PDEs 2014-10-14 v1 Differential Geometry

Abstract

We establish Evans-Krylov estimates for certain nonconvex fully nonlinear elliptic and parabolic equations by exploiting partial Legendre transformations. The equations under consideration arise in part from the study of the "pluriclosed flow" introduced by the first author and Tian

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Cite

@article{arxiv.1410.2911,
  title  = {Evans-Krylov Estimates for a nonconvex Monge-Amp\`ere equation},
  author = {Jeffrey Streets and Micah Warren},
  journal= {arXiv preprint arXiv:1410.2911},
  year   = {2014}
}

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21 pages