Koya Nishimura

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math.AP2018

Global existence for the Boltzmann equation in $L_{v}^{r} L_{t}^{\infty} L_{x}^{\infty}$ 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…

Global existence for the Boltzmann equation in Lvr​Lt∞​Lx∞​ spaces

Local solutions for the Boltzmann equation

The hard potential relativistic Boltzmann equation in the whole space

Global existence for the Boltzmann equation in $L_{v}^{r} L_{t}^{\infty} L_{x}^{\infty}$ spaces