7 papers
On invariant solutions of linear time-fractional diffusion-wave equations with variable coefficients
Sodbaatar Adiya, Khongorzul Dorjgotov, Bayarmagnai Gombodorj +2
We study invariant solutions of a certain class of time-fractional diffusion-wave equations with variable coefficients via Lie symmetry analysis. In physics, the fractional diffusi…
A Green's Function-Based Enclosure Framework for Poisson's Equation and Generalized Sub- and Super-Solutions
Kazuaki Tanaka, Ryoga Iwanami, Kaname Matsue +1
This paper presents a novel framework for enclosing solutions of Poisson's equation based on generalized sub- and super-solutions constructed using fundamental solutions. The conve…
Shift operators of the Dotsenko-Fateev equation and its higher order versions
Yoshishige Haraoka, Hiroyuki Ochiai, Takeshi Sasaki +1
We find shift operators for the Dotsenko-Fateev equation, which is a differential equation of order 3, and for the three Fuchsian differential equations of order 4, 5 and 6, respec…
Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter
Yoshishige Haraoka, Hiroyuki Ochiai, Takeshi Sasaki +1
Fuchsian differential equations of order with three singular points and one accessory parameter are presented. The shift operators for are studied. They l…
First and Second Fundamental Theorems for Invariant Rings Generated by Circulant Determinants
Naoya Yamaguchi, Hiroyuki Ochiai, Yuka Yamaguchi
In this paper, we give the first and second fundamental theorems of invariant theory for certain invariant rings whose generators are expressed by circulant determinants.
A D-module approach to invariant distributions with finitely many orbits
Hiroyuki Ochiai
Tauchi provides an example illustrating the action of a real algebraic subgroup of with finitely many orbits on , while the dimension of t…