Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36(3) 745-782 May 2019 [Refereed]

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 cutoff Maxwellian molecular gases in a strictly convex bounded dom...

Inverse Problems and Imaging 13(2) 337-351 Apr 2019 [Refereed]

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 discontinuity of the solution to the boundary value problem arising from ...

Journal of Statistical Physics 170(1) 127-140 Jan 2018 [Refereed]

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 of the incoming boundary data and that of the solution to the statio...

It is proved in [2] that the Neumann–Poincar´e operator for the Lam´e system of linear elasticity is polynomially compact and, as a consequence, that its spectrum consists of three non-empty sequences of eigenvalues accumulating to certain numbers...

Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang, Daisuke Kawagoe, Yoshihisa Miyanishi

Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36(7) 1817-1828 Nov 2019 [Refereed]

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 eigenvalues. It is proved in this paper that tori have such a property. It is...

Workshop for young scholars Control and inverse problems on waves, oscillations and flows -Mathematical analysis and computational methods- 26 Aug 2019