3 papers
math.AP2018
Global existence for the Boltzmann equation in spaces
Koya Nishimura
We study the Boltzmann equation near a global Maxwellian. We prove the global existence of a unique mild solution with initial data which belong to the $L^r_v L^\infty_t L^\infty_x…
math.AP2018
Local solutions for the Boltzmann equation
Koya Nishimura
We study local existence for the Boltzmann equation near a global Maxwellian.
math.AP2018
The hard potential relativistic Boltzmann equation in the whole space
Koya Nishimura
We study the Cauchy problem for the relativistic Boltzmann equation near relativistic Maxwellians in the whole space. The purpose of this article is to handle hard potentials, and…