scholarly journals Complex powers for cone differential operators and the heat equation on manifolds with conical singularities

2018 ◽  
Vol 146 (7) ◽  
pp. 2995-3007 ◽  
Author(s):  
Nikolaos Roidos
Keyword(s):  
Heat Equation ◽  
Differential Operators ◽  
Conical Singularities ◽  
Manifolds With Conical Singularities ◽  
Complex Powers

scholarly journals New insights on the J and Y functions in the heat transfer

2021 ◽  
Vol 25 (6 Part B) ◽  
pp. 4577-4584
Author(s):  
Xiao-Jun Yang ◽  
Lu-Lu Geng ◽  
Yu-Mei Pan
Keyword(s):  
Heat Transfer ◽  
Heat Equation ◽  
Differential Operators ◽  
New Applications ◽  
First Time

In this article, we propose the integral and differential operators within the kernel of the Y function for the first time. We study the properties of the J and Y functions. We also present the some new applications of the heat transfer and present the new representation for the solution of the heat equation in the 1-D case.

scholarly journals Riemannian Manifolds with Conical Singularities

1998 ◽  
Vol 28 (2) ◽  
pp. 625-641 ◽  
Author(s):  
Zhong-Dong Liu ◽  
Zhongmin Shen ◽  
Dagang Yang
Keyword(s):  
Riemannian Manifolds ◽  
Conical Singularities ◽  
Manifolds With Conical Singularities
Sign in / Sign up

Export Citation Format

Share Document