Two-sided Gaussian bounds for fundamental solutions of non-divergence form parabolic operators with Hölder continuous coefficients

Authors

  • Mourad Choulli
  • Giorgio Metafune

DOI:

https://doi.org/10.1285/i15900932v40n2p21

Keywords:

Non-divergence form parabolic operator, fundamental solution, parametrix, twosided Gaussian bounds, Dirichlet-Green function, Neumann-Green function

Abstract

We establish two-sided Gaussian bounds for fundamental solutions of general non-divergence form parabolic operators with Hölder continuous coefficients. The result we obtain is essentially based on parametrix method.

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Published

17-02-2021

Issue

Volume 40, Issue 2 (2020)

Section

Articoli

License

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode