Work

Quantitative Schauder estimates for hypoelliptic equations

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2305.00463

Author: Loher, Amélie

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Cambridge Trust, Newnham College, University of Cambridge

OpenAlex ID: W4367694313

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