Global hypoelliptic estimates for fractional order kinetic equation
Copyright policy )Global hypoelliptic estimates for fractional order kinetic equation
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.
- Wuhan University China (People's Republic of)
- University of Nantes France
- University of Nantes France
Boltzmann equations, pseudo-differential calculus, Hypoelliptic equations, Kinetic theory of gases in time-dependent statistical mechanics, hypoellipticity, Subelliptic equations, Pseudodifferential operators as generalizations of partial differential operators, Fractional partial differential equations, Wick quantization, non-cutoff Boltzmann equation, fractional order kinetic equation
Boltzmann equations, pseudo-differential calculus, Hypoelliptic equations, Kinetic theory of gases in time-dependent statistical mechanics, hypoellipticity, Subelliptic equations, Pseudodifferential operators as generalizations of partial differential operators, Fractional partial differential equations, Wick quantization, non-cutoff Boltzmann equation, fractional order kinetic equation
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