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Global hypoelliptic estimates for fractional order kinetic equation
Author(s) -
Li WeiXi
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200002
Subject(s) - hypoelliptic operator , mathematics , multiplier (economics) , boltzmann equation , order (exchange) , class (philosophy) , operator (biology) , kinetic energy , mathematical analysis , partial differential equation , method of characteristics , physics , biochemistry , chemistry , finance , quantum mechanics , repressor , artificial intelligence , computer science , transcription factor , gene , economics , macroeconomics
In this paper we study a class of fractional order kinetic equation, which is a linear model of spatially inhomogeneous Boltzmann equation without angular cutoff. Using the multiplier method introduced by F. Hérau and K. Pravda‐Starov (J. Math. Pures et Appl., 2011), we establish the optimal global hypoelliptic estimates with weights for the linear model operator.