Liouville's theorem for the generalized harmonic function

TL;DR

This paper provides a more physical proof of Liouville's theorem for generalized harmonic functions using the method of parabolic equations, enhancing understanding of their properties.

Contribution

It introduces a novel, physically motivated proof technique for Liouville's theorem applicable to generalized harmonic functions.

Findings

Proof of Liouville's theorem using parabolic equations

Enhanced understanding of generalized harmonic functions

Method applicable to broader classes of functions

Abstract

In this paper, we give a more physical proof of Liouville's theorem for a class generalized harmonic functions by the method of parabolic equation.