11 citations · 33 across the 8 of their papers we have counts for
8 papers
Nonexistence of multi-dimensional solitary waves for the Euler-Poisson system
Junsik Bae, Daisuke Kawagoe
We study the nonexistence of multi-dimensional solitary waves for the Euler-Poisson system governing ion dynamics. It is well-known that the one-dimensional Euler-Poisson system ha…
On the Existence of solutions for Stationary Linearized Boltzmann Equations in a Small Convex Domain
I-Kun Chen, Ping-Han Chuang, Chun-Hsiung Hsia +2
In this article, we investigate the incoming boundary value problem for the stationary linearized Boltzmann equations in . For a bounded domain wi…
On strong convergence of an elliptic regularization with the Neumann boundary condition applied to a stationary advection equation
Masaki Imagawa, Daisuke Kawagoe
We consider a boundary value problem of a stationary advection equation with the homogeneous inflow boundary condition in a bounded domain with Lipschitz boundary, and consider its…
Spectral structure of the Neumann--Poincaré operator on tori
Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang +2
We address the question whether there is a three-dimensional bounded domain such that the Neumann--Poincaré operator defined on its boundary has infinitely many negative eigenvalue…
Surface Riesz transforms and spectral property of elastic Neumann--Poincaé operators on less smooth domains in three dimensions
Hyeonbae Kang, Daisuke Kawagoe
It is known that the Neumann--Poincaré operator for the Lamé system of linear elasticity is polynomially compact and, as a consequence, that its spectrum consists of three non-empt…
Propagation of boundary-induced discontinuity in stationary radiative transfer and its application to the optical tomography
I-Kun Chen, Daisuke Kawagoe
We consider a boundary value problem of the stationary transport equation with the incoming boundary condition in two or three dimensional bounded convex domains. We discuss discon…
Regularity for diffuse reflection boundary problem to the stationary linearized Boltzmann equation in a convex domain
I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe
We investigate the regularity issue for the diffuse reflection boundary problem to the stationary linearized Boltzmann equation for hard sphere potential, cutoff hard potential, or…
Propagation of boundary-induced discontinuity in stationary radiative transfer
I-Kun Chen, Daisuke Kawagoe
We consider the boundary value problem of the stationary transport equation in the slab domain of general dimensions. In this paper, we discuss the relation between discontinuity o…