3 papers
math.AP2026
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…
math.AP2024
A revisit on well-posedness of a boundary value problem of a stationary advection equation without the separation condition
Masaki Imagawa, Daisuke Kawagoe
We consider a boundary value problem of a stationary advection equation in a bounded domain with Lipschitz boundary. It is known to be well-posed in -based function spaces for…