scholarly journals Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Shi-you Lin
Keyword(s):  
Cauchy Problem ◽  
Boltzmann Equation ◽  
Gevrey Regularity ◽  
Homogeneous Boltzmann Equation ◽  
Strong Singularity ◽  
The Cauchy Problem ◽  
Spatially Homogeneous ◽  
Spatially Homogeneous Boltzmann Equation

The Cauchy problem of the nonlinear spatially homogeneous Boltzmann equation without angular cutoff is studied. By using analytic techniques, one proves the Gevrey regularity of theC∞solutions in non-Maxwellian and strong singularity cases.

scholarly journals Local Gevrey Regularity for Linearized Homogeneous Boltzmann Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-23
Author(s):  
Shi-you Lin
Keyword(s):  
Boltzmann Equation ◽  
Gevrey Regularity ◽  
Homogeneous Boltzmann Equation ◽  
Spatially Homogeneous ◽  
Spatially Homogeneous Boltzmann Equation

The local Gevrey regularity of the solutions of the linearized spatially homogeneous Boltzmann equation has been shown in the non-Maxwellian case with mild singularity.

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