Two-sided Gaussian bounds for fundamental solutions of non-divergence form parabolic operators with H\"older continuous coefficients

Mourad Choulli; Giorgio Metafune

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arXiv · 1908.11054

Two-sided Gaussian bounds for fundamental solutions of non-divergence form parabolic operators with H\"older continuous coefficients

Mourad Choulli·Giorgio Metafune

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Abstract

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

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Mourad Choulli, Giorgio Metafune. 2019-08-29. Two-sided Gaussian bounds for fundamental solutions of non-divergence form parabolic operators with H\"older continuous coefficients. https://arxiv.org/abs/1908.11054

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