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arXiv · 1703.06448

On pointwise exponentially weighted estimates for the Boltzmann equation

Irene M. Gamba·Nataša Pavlović·Maja Tasković
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Abstract

In this paper we prove propagation in time of weighted $L^\infty$ bounds for solutions to the non-cutoff homogeneous Boltzmann equation that satisfy propagation in time of weighted $L^1$ bounds. To emphasize that the propagation in time of weighted $L^{\infty}$ bounds relies on the propagation in time of weighted $L^1$ bounds, we express our main result using certain general weights. Consequently we apply the main result to cases of exponential and Mittag-Leffler weights, for which propagation in time of weighted $L^1$ bounds holds.

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Irene M. Gamba, Nataša Pavlović, Maja Tasković. 2017-03-19. On pointwise exponentially weighted estimates for the Boltzmann equation. https://arxiv.org/abs/1703.06448

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