Green's Functions of Partial Differential Equations with Involutions

2017/07/01 by Tojo, F. Adrián F., Torres, Pedro J.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1707.00174

Abstract

In this paper we develop a way of obtaining Green's functions for partial differential equations with linear involutions by reducing the equation to a higher-order PDE without involutions. The developed theory is applied to a model of heat transfer in a conducting plate which is bent in half.

Related

• Funciones de Green para Ecuaciones Diferenciales con Involuciones
• Green's functions for solving differential equations, in non-boundary value problems in near-field optics and in quantum transport through point contacts
• Green functions for the heat and Laplace equations with dynamical boundary conditions in a ball
• Computation of Green's functions through algebraic decomposition of operators
• An Introduction to Partial Differential Equations