21 citations · 23 across the 3 of their papers we have counts for
3 papers
math.AP2020★ 2 cited
Gelfand problem on a large spherical cap
Yoshitsugu Kabeya, Vitaly Moroz
We study the behaviour of the minimal solution to the Gelfand problem on a spherical cap under the Dirichlet boundary conditions. The asymptotic behaviour of the solution is discus…
math.AP2018
Hot spots of solutions to the heat equation with inverse square potential
Kazuhiro Ishige, Yoshitsugu Kabeya, Asato Mukai
We investigate the large time behavior of the hot spots of the solution to the Cauchy problem for the heat equation with a potential , where dec…
math.AP2016★ 21 cited
The heat kernel of a Schrödinger operator with inverse square potential
Kazuhiro Ishige, Yoshitsugu Kabeya, El Maati Ouhabaz
We consider the Schr{ö}dinger operator H = -- + V (|x|) with radial potential V which may have singularity at 0 and a quadratic decay at infinity. First, we study the structure…