A quantitative averaging lemma for spatially dependent vector fields
Paul Alphonse, Billel Guelmame, Julien Vovelle
TL;DR
This paper establishes a quantitative averaging lemma tailored for spatially dependent vector fields, utilizing an iterative regularization approach and local inversion principles.
Contribution
It introduces a novel quantitative averaging lemma specifically designed for spatially dependent vector fields, advancing the theoretical framework.
Findings
Proves a new averaging lemma for spatially dependent vector fields.
Uses iterative regularization and local inversion in the proof.
Provides a quantitative estimate for averaging in this context.
Abstract
We prove a quantitative averaging lemma for spatially dependent vector fields. Our proof is based on an iteration of the regularizing operator and some elementary considerations about the local inversion theorem.
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