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arXiv · 2305.00463

Quantitative Schauder estimates for hypoelliptic equations

Amélie Loher
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Abstract

We derive Schauder estimates using ideas from Campanato's approach for a general class of local hypoelliptic operators and non-local kinetic equations. The method covers equations in divergence and non-divergence form. In particular our results are applicable to the inhomogeneous Landau and to the non-cutoff Boltzmann equation. The paper is self-contained.

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Amélie Loher. 2023-04-30. Quantitative Schauder estimates for hypoelliptic equations. https://arxiv.org/abs/2305.00463

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