Daisuke Kawagoe

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20232025

most citedA revisit on well-posedness of a boundary value problem of a stationary advection equation without the separation condition

1 citations · 2 across the 5 of their papers we have counts for

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math.AP2025

$H_{x}^{s}$ regularity of solutions to the stationary Boltzmann equation with the incoming boundary condition

Daisuke Kawagoe

We consider the stationary Boltzmann equation with the angular cutoff cross section in a bounded convex domain under the incoming boundary condition. In this article, we discuss th…

math.AP2025

On the existence and regularity of weakly nonlinear stationary Boltzmann equations : a Fredholm alternative approach

I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe

The celebrated Fredholm alternative theorem works for the setting of identity compact operators. This idea has been widely used to solve linear partial differential equations \cite…

Hxs​ regularity of solutions to the stationary Boltzmann equation with the incoming boundary condition

On the existence and regularity of weakly nonlinear stationary Boltzmann equations : a Fredholm alternative approach

$H_{x}^{s}$ regularity of solutions to the stationary Boltzmann equation with the incoming boundary condition