English

Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients

Analysis of PDEs 2017-04-25 v1

Abstract

We prove Gaussian upper and lower bounds for the fundamental solutions of a class of degenerate parabolic equations satisfying a weak Hormander condition. The bound is independent of the smoothness of the coefficients and generalizes classical results for uniformly parabolic equations

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Cite

@article{arxiv.1704.07307,
  title  = {Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients},
  author = {Alberto Lanconelli and Andrea Pascucci and Sergio Polidoro},
  journal= {arXiv preprint arXiv:1704.07307},
  year   = {2017}
}

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17 pages