Renormgroup symmetry for solution functionals

TL;DR

This paper extends the renormgroup symmetry method to boundary value problems involving non-local integral equations, providing a generalized algorithm and demonstrating its application through examples.

Contribution

The authors generalize the renormgroup algorithm and symmetry concept to models with non-local integral terms, expanding its applicability to a broader class of problems.

Findings

Generalized renormgroup algorithm for non-local models

Application examples demonstrating the method's effectiveness

Enhanced understanding of symmetries in integral equation models

Abstract

The paper contains generalization of the renormgroup algorithm for boundary value problems of mathematical physics and related concept of the renormgroup symmetry, formulated earlier by authors with reference to models based on differential equations. These algorithm and symmetry are formulated now for models with non local (integral) equations. We discuss in detail and illustrate by examples applications of the generalized algorithm to models with not local terms which appear as linear functionals of the solution.