Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904485 | Acta Mathematica Scientia | 2017 | 14 Pages |
Abstract
Let u = u(t,x, p) satisfy the transport equation
âuât+Pp0ââx=, where f=f(t, x,p) belongs to Lp((0,T)Ã R3 Ã R3) for 1< p <â and
âât+Pp0ââx is the relativistic-free transport operator from the relativistic Boltzmann equation. We show the regularity of
â«R3u(t,x,p)dp using the same method as given by Golse, Lions, Perthame and Sentis. This average regularity is considered in terms of fractional Sobolev spaces and it is very useful for the study of the existence of the solution to the Cauchy problem on the relativistic Boltzmann equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jianjun HUANG,