UNIFORM ESTIMATES ON THE FISHER INFORMATION FOR SOLUTIONS TO BOLTZMANN AND LANDAU EQUATIONS

Alonso Ricardo J.; Bagland Veronique; Lods Bertrand

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UNIFORM ESTIMATES ON THE FISHER INFORMATION FOR SOLUTIONS TO BOLTZMANN AND LANDAU EQUATIONS

机译：对Boltzmann和Landau方程的解决方案的Fisher信息统一估计

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In this note we prove that, under some minimal regularity assumptions on the initial datum, solutions to the spatially homogenous Boltzmann and Landau equations for hard potentials uniformly propagate the Fisher information. The proof of such a result is based upon some explicit pointwise lower bound on solutions to Boltzmann equation and strong diffusion properties for the Landau equation. We include an application of this result related to emergence and propagation of exponential tails for the solution's gradient. These results complement estimates provided in [24, 26, 15, 23].

机译：在本说明中，我们证明，在初始数据上的一些最小规律性假设下，空间同质Boltzmann和硬势方程的解决方案均匀地传播Fisher信息。这种结果证明基于Boldzmann方程的解决方案的一些显式逐界，以及Landau方程的强扩散特性。我们包括该结果的应用与溶液梯度指数尾部的出现和传播相关。这些结果补充了[24,26,15,23]中提供的估计。

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来源
《Kinetic & related models》 |2019年第5期|共21页
作者
Alonso Ricardo J.; Bagland Veronique; Lods Bertrand;
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作者单位

Pontificia Univ Catolica Rio de Janeiro Dept Matemat Rua Marques Sao Vicente 225 BR-22451900 Rio de Janeiro Brazil;

Univ Clermont Auvergne LMBP UMR 6620 CNRS Campus Cezeaux 3 Pl Vasarely TSA 60026 CS 60026 F-63178 Aubiere France;

Univ Torino Corso Unione Soviet 218 Bis I-10134 Turin Italy;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Boltzmann equation; Landau equation; Fisher information; propagation of regularity;

机译：Boltzmann方程;Landau方程;Fisher信息;规律繁殖;

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1. UNIFORM ESTIMATES ON THE FISHER INFORMATION FOR SOLUTIONS TO BOLTZMANN AND LANDAU EQUATIONS [J] . Alonso Ricardo J., Bagland Veronique, Lods Bertrand Kinetic & related models . 2019,第5期

机译：对Boltzmann和Landau方程的解决方案的Fisher信息统一估计
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7. Uniform estimates on the Fisher information for solutions to Boltzmann and Landau equations [O] . Ricardo J. Alonso, Véronique Bagland, Bertrand Lods 2019

机译：关于Boltzmann和Landau方程的解决方案的Fisher信息的统一估计

UNIFORM ESTIMATES ON THE FISHER INFORMATION FOR SOLUTIONS TO BOLTZMANN AND LANDAU EQUATIONS

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