Kyoto Journal of Mathematics

Global hypoelliptic estimates for Landau-type operators with external potential

Frédéric Hérau and Wei-Xi Li

Full-text: Open access

Abstract

In this paper we study a Landau-type operator with an external force. It is a linear model of the Landau equation near Maxwellian distributions. Making use of multiplier method, we get the global hypoelliptic estimate under suitable assumptions on the external potential.

Article information

Source
Kyoto J. Math., Volume 53, Number 3 (2013), 533-565.

Dates
First available in Project Euclid: 19 August 2013

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1376917625

Digital Object Identifier
doi:10.1215/21562261-2265886

Mathematical Reviews number (MathSciNet)
MR3102561

Zentralblatt MATH identifier
1316.35091

Subjects
Primary: 35H10: Hypoelliptic equations
Secondary: 35H20: Subelliptic equations 35B65: Smoothness and regularity of solutions 82C40: Kinetic theory of gases

Citation

Hérau, Frédéric; Li, Wei-Xi. Global hypoelliptic estimates for Landau-type operators with external potential. Kyoto J. Math. 53 (2013), no. 3, 533--565. doi:10.1215/21562261-2265886. https://projecteuclid.org/euclid.kjm/1376917625


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