Optimal time decay of the quantum Landau equation in the whole space

Shuangqian Liu; Xuan Ma; Hongjun Yu

doi:10.1016/j.jde.2012.02.003

Optimal time decay of the quantum Landau equation in the whole space

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Overview

10 Scopus Citations

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Author(s)

Shuangqian Liu
Xuan Ma
Hongjun Yu

Detail(s)

Original language	English
Pages (from-to)	5414-5452
Journal / Publication	Journal of Differential Equations
Volume	252
Issue number	10
Publication status	Published - 15 May 2012
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/j.jde.2012.02.003 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84862795610&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(58084d5a-95ef-4f43-9996-d4bd3c310ffa).html

Abstract

We are concerned with the Cauchy problem of the quantum Landau equation in the whole space. The existence of local in time nearby quantum Maxwellian solutions is proved by the iteration method and generalized maximum principle. Based on Kawashima's compensating function and nonlinear energy estimates, the global existence and the optimal time decay rate of those solutions are obtained under some conditions on initial data. © 2012 Elsevier Inc.

Research Area(s)

Compensating function, Nonlinear energy method, Optimal time decay, Quantum Landau equation

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