FRACTIONAL ORDER KINETIC EQUATIONS AND HYPOELLIPTICITY-Reference-Cited by-同舟云学术

FRACTIONAL ORDER KINETIC EQUATIONS AND HYPOELLIPTICITY

Published:2012-07 Issue:03 Volume:10 Page:237-247
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

ALEXANDRE R.¹²

Affiliation:

1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, P. R. China

2. Irenav, Arts et Metiers Paris Tech, Ecole Navale, Lanveoc Poulmic, Brest 29290, France

Abstract

We give simple proofs of hypoelliptic estimates for some models of kinetic equations with a fractional order diffusion part. The proofs are based on energy estimates together with the previous ideas of Bouchut and Perthame.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021953051250011X

Reference14 articles.

1. Entropy Dissipation and Long-Range Interactions

2. Uncertainty principle and kinetic equations

3. Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation

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