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arXiv:2407.19504 [math.AP]AbstractReferencesReviewsResources

Quantitative comparison results for first-order Hamilton-Jacobi equations

Vincenzo Amato, Luca Barbato

Published 2024-07-28Version 1

In this paper, we prove a quantitative version of the comparison result for solutions to first-order Hamilton-Jacobi equations proved in \cite{GN}. The key role is played by quantitative versions of the P\'olya-Szeg\H o inequality and of the Hardy-Littlewood inequality.

Categories: math.AP
Subjects: 35F21, 35B35, 35B51
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